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330034545104 = 241121923390097
BaseRepresentation
bin1001100110101111001…
…01111000000111010000
31011112212200020000002112
410303113211320013100
520401402320420404
6411341001404452
732562364226645
oct4632745700720
91145780200075
10330034545104
11117a6a995600
1253b67a99728
13251783ca6a4
1411d8bdbddcc
1588b935d56e
hex4cd79781d0

330034545104 has 120 divisors (see below), whose sum is σ = 772019545920. Its totient is φ = 135940654080.

The previous prime is 330034545101. The next prime is 330034545109. The reversal of 330034545104 is 401545430033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330034545101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650984 + ... + 1041080.

It is an arithmetic number, because the mean of its divisors is an integer number (6433496216).

Almost surely, 2330034545104 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 330034545104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386009772960).

330034545104 is an abundant number, since it is smaller than the sum of its proper divisors (441985000816).

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

330034545104 is a wasteful number, since it uses less digits than its factorization.

330034545104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390169 (or 390152 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 330034545104 its reverse (401545430033), we get a palindrome (731579975137).

The spelling of 330034545104 in words is "three hundred thirty billion, thirty-four million, five hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 121 152 176 184 209 242 253 304 368 418 437 484 506 836 874 968 1012 1672 1748 1936 2024 2299 2783 3344 3496 4048 4598 4807 5566 6992 9196 9614 11132 18392 19228 22264 36784 38456 44528 52877 76912 105754 211508 390097 423016 780194 846032 1560388 3120776 4291067 6241552 7411843 8582134 8972231 14823686 17164268 17944462 29647372 34328536 35888924 47201737 59294744 68657072 71777848 81530273 94403474 98694541 118589488 143555696 163060546 170472389 188806948 197389082 326121092 340944778 377613896 394778164 652242184 681889556 755227792 789556328 896833003 1085639951 1304484368 1363779112 1579112656 1793666006 1875196279 2171279902 2727558224 3587332012 3750392558 4342559804 7174664024 7500785116 8685119608 14349328048 15001570232 17370239216 20627159069 30003140464 41254318138 82508636276 165017272552 330034545104