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343157854368 = 25374716076761
BaseRepresentation
bin1001111111001011100…
…11010101000010100000
31012210202021001012001210
410333211303111002200
521110241402314433
6421351115430120
733535525430550
oct4774563250240
91183667035053
10343157854368
1112259473203a
125660aa55340
132648a1b4644
1412874c87160
158dd651b463
hex4fe5cd50a0

343157854368 has 192 divisors, whose sum is σ = 1052187107328. Its totient is φ = 95885137920.

The previous prime is 343157854349. The next prime is 343157854379. The reversal of 343157854368 is 863458751343.

It is a hoax number, since the sum of its digits (57) 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50752108 + ... + 50758868.

It is an arithmetic number, because the mean of its divisors is an integer number (5480141184).

Almost surely, 2343157854368 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 343157854368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526093553664).

343157854368 is an abundant number, since it is smaller than the sum of its proper divisors (709029252960).

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

343157854368 is a wasteful number, since it uses less digits than its factorization.

343157854368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8427 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 343157854368 in words is "three hundred forty-three billion, one hundred fifty-seven million, eight hundred fifty-four thousand, three hundred sixty-eight".