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331434324234 = 2331331108714011
BaseRepresentation
bin1001101001010110000…
…01100111000100001010
31011200111020011011002000
410310223001213010022
520412234141333414
6412131523451430
732642152162446
oct4645301470412
91150436134060
10331434324234
11118619043362
1254298826b76
132533c3cc770
1412081c75826
15894c1acb09
hex4d2b06710a

331434324234 has 128 divisors (see below), whose sum is σ = 819574210560. Its totient is φ = 98592292800.

The previous prime is 331434324211. The next prime is 331434324241. The reversal of 331434324234 is 432423434133.

331434324234 is a `hidden beast` number, since 33 + 14 + 343 + 242 + 34 = 666.

It is a super-2 number, since 2×3314343242342 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23648289 + ... + 23662299.

It is an arithmetic number, because the mean of its divisors is an integer number (6402923520).

Almost surely, 2331434324234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331434324234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409787105280).

331434324234 is an abundant number, since it is smaller than the sum of its proper divisors (488139886326).

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

331434324234 is a wasteful number, since it uses less digits than its factorization.

331434324234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15153 (or 15147 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 331434324234 its reverse (432423434133), we get a palindrome (763857758367).

The spelling of 331434324234 in words is "three hundred thirty-one billion, four hundred thirty-four million, three hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1087 1209 1674 2174 2418 3261 3627 6522 7254 9783 10881 14011 14131 19566 21762 28022 28262 29349 33697 42033 42393 58698 67394 84066 84786 101091 126099 127179 182143 202182 252198 254358 303273 364286 378297 381537 434341 438061 546429 606546 756594 763074 868682 876122 909819 1092858 1303023 1314183 1639287 1819638 2606046 2628366 3278574 3909069 3942549 4917861 5646433 7818138 7885098 9835722 11292866 11727207 11827647 15229957 16939299 23454414 23655294 30459914 33878598 45689871 50817897 91379742 101635794 137069613 152453691 197989441 274139226 304907382 395978882 411208839 472128667 593968323 822417678 944257334 1187936646 1416386001 1781904969 2832772002 3563809938 4249158003 5345714907 6137672671 8498316006 10691429814 12275345342 12747474009 18413018013 25494948018 36826036026 55239054039 110478108078 165717162117 331434324234