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343996365312 = 293274651989
BaseRepresentation
bin1010000000101111100…
…01111111101000000000
31012212220200211221211200
411000113301333220000
521114001032142222
6422010231541200
733565356601065
oct5002761775000
91185820757750
10343996365312
11122984a86796
125680382a800
1326591b2c372
1412914398c6c
158e34e4deac
hex5017c7fa00

343996365312 has 60 divisors (see below), whose sum is σ = 992796815010. Its totient is φ = 114665453568.

The previous prime is 343996365301. The next prime is 343996365347. The reversal of 343996365312 is 213563699343.

343996365312 is a `hidden beast` number, since 3 + 43 + 9 + 9 + 63 + 6 + 531 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269585254656 + 74411110656 = 519216^2 + 272784^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37321387 + ... + 37330602.

Almost surely, 2343996365312 is an apocalyptic number.

343996365312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

343996365312 is an abundant number, since it is smaller than the sum of its proper divisors (648800449698).

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

343996365312 is an equidigital number, since it uses as much as digits as its factorization.

343996365312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74652013 (or 74651994 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 54.

The spelling of 343996365312 in words is "three hundred forty-three billion, nine hundred ninety-six million, three hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 74651989 149303978 223955967 298607956 447911934 597215912 671867901 895823868 1194431824 1343735802 1791647736 2388863648 2687471604 3583295472 4777727296 5374943208 7166590944 9555454592 10749886416 14333181888 19110909184 21499772832 28666363776 38221818368 42999545664 57332727552 85999091328 114665455104 171998182656 343996365312