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340200214332 = 2231131720294007
BaseRepresentation
bin1001111001101011000…
…00110100111100111100
31012112010010201111200020
410330311200310330330
521033212223324312
6420141423132140
733402323052366
oct4746540647474
91175103644606
10340200214332
11121307174330
1255b24444050
1326108511b94
1412674149d36
158cb1a4378c
hex4f35834f3c

340200214332 has 96 divisors (see below), whose sum is σ = 869340971520. Its totient is φ = 102689483520.

The previous prime is 340200214327. The next prime is 340200214337. The reversal of 340200214332 is 233412002043.

It is an interprime number because it is at equal distance from previous prime (340200214327) and next prime (340200214337).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340200214337) 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, 84899473 + ... + 84903479.

It is an arithmetic number, because the mean of its divisors is an integer number (9055635120).

Almost surely, 2340200214332 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 340200214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434670485760).

340200214332 is an abundant number, since it is smaller than the sum of its proper divisors (529140757188).

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

340200214332 is a wasteful number, since it uses less digits than its factorization.

340200214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 340200214332 its reverse (233412002043), we get a palindrome (573612216375).

The spelling of 340200214332 in words is "three hundred forty billion, two hundred million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1268 1902 2029 3487 3804 4007 4058 6087 6974 8014 8116 10461 12021 12174 13948 16028 20922 22319 24042 24348 41844 44077 44638 48084 66957 88154 89276 132231 133914 176308 264462 267828 528924 643193 1270219 1286386 1929579 2540438 2572772 3810657 3859158 5080876 7075123 7621314 7718316 8130203 13972409 14150246 15242628 16260406 21225369 24390609 27944818 28300492 32520812 41917227 42450738 48781218 55889636 83834454 84901476 89432233 97562436 167668908 178864466 268296699 357728932 536593398 1073186796 2577274351 5154548702 7731823053 10309097404 15463646106 28350017861 30927292212 56700035722 85050053583 113400071444 170100107166 340200214332