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350223240020304 = 243729180119956941
BaseRepresentation
bin100111110100001101011001…
…1110100000100000101010000
31200221001000101202120220001010
41033220122303310010011100
5331401024143421122204
63240510200234010520
7133524536242113360
oct11750326364040520
91627030352526033
10350223240020304
11a1656929765a62
123334373a576a40
1312055ba9b63261
14626ac7684c9a0
152a7519bd64d89
hex13e86b3d04150

350223240020304 has 160 divisors (see below), whose sum is σ = 1070241306243840. Its totient is φ = 96559658496000.

The previous prime is 350223240020299. The next prime is 350223240020309. The reversal of 350223240020304 is 403020042322053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (350223240020299) and next prime (350223240020309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350223240020309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7570474 + ... + 27527414.

It is an arithmetic number, because the mean of its divisors is an integer number (6689008164024).

Almost surely, 2350223240020304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350223240020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535120653121920).

350223240020304 is an abundant number, since it is smaller than the sum of its proper divisors (720018066223536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

350223240020304 is a wasteful number, since it uses less digits than its factorization.

350223240020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19958789 (or 19958783 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 350223240020304 its reverse (403020042322053), we get a palindrome (753243282342357).

The spelling of 350223240020304 in words is "three hundred fifty trillion, two hundred twenty-three billion, two hundred forty million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 1801 2436 3248 3602 4872 5403 7204 9744 10806 12607 14408 21612 25214 28816 37821 43224 50428 52229 75642 86448 100856 104458 151284 156687 201712 208916 302568 313374 365603 417832 605136 626748 731206 835664 1096809 1253496 1462412 2193618 2506992 2924824 4387236 5849648 8774472 17548944 19956941 39913882 59870823 79827764 119741646 139698587 159655528 239483292 279397174 319311056 419095761 478966584 558794348 578751289 838191522 957933168 1117588696 1157502578 1676383044 1736253867 2235177392 2315005156 3352766088 3472507734 4051259023 4630010312 6705532176 6945015468 8102518046 9260020624 12153777069 13890030936 16205036092 24307554138 27780061872 32410072184 35942450741 48615108276 64820144368 71884901482 97230216552 107827352223 143769802964 194460433104 215654704446 251597155187 287539605928 431309408892 503194310374 575079211856 754791465561 862618817784 1006388620748 1042331071489 1509582931122 1725237635568 2012777241496 2084662142978 3019165862244 3126993214467 4025554482992 4169324285956 6038331724488 6253986428934 7296317500423 8338648571912 12076663448976 12507972857868 14592635000846 16677297143824 21888952501269 25015945715736 29185270001692 43777905002538 50031891431472 58370540003384 87555810005076 116741080006768 175111620010152 350223240020304