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343382572416 = 27313174046269
BaseRepresentation
bin1001111111100110011…
…00100011110110000000
31012211022220220001021110
410333303030203312000
521111221414304131
6421425304123320
733544224464322
oct4776314436600
91184286801243
10343382572416
1112269a568034
1256672166540
13264c49146c0
1412896a61612
158deb109646
hex4ff3323d80

343382572416 has 128 divisors (see below), whose sum is σ = 1040053240800. Its totient is φ = 99441082368.

The previous prime is 343382572387. The next prime is 343382572471. The reversal of 343382572416 is 614275283343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1938271 + ... + 2107998.

Almost surely, 2343382572416 is an apocalyptic number.

It is an amenable number.

343382572416 is an abundant number, since it is smaller than the sum of its proper divisors (696670668384).

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

343382572416 is a wasteful number, since it uses less digits than its factorization.

343382572416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046316 (or 4046304 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 343382572416 in words is "three hundred forty-three billion, three hundred eighty-two million, five hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 42432 84864 4046269 8092538 12138807 16185076 24277614 32370152 48555228 52601497 64740304 68786573 97110456 105202994 129480608 137573146 157804491 194220912 206359719 210405988 258961216 275146292 315608982 388441824 412719438 420811976 517922432 550292584 631217964 776883648 825438876 841623952 894225449 1100585168 1262435928 1553767296 1650877752 1683247904 1788450898 2201170336 2524871856 2682676347 3301755504 3366495808 3576901796 4402340672 5049743712 5365352694 6603511008 6732991616 7153803592 8804681344 10099487424 10730705388 13207022016 14307607184 20198974848 21461410776 26414044032 28615214368 42922821552 57230428736 85845643104 114460857472 171691286208 343382572416