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340862491145376 = 253331107118937827
BaseRepresentation
bin100110110000000110011101…
…1101100111011010010100000
31122200220010200002010102221000
41031200030323230323102200
5324134142340213123001
63204542022223032000
7131540334201363054
oct11540147354732240
91580803602112830
10340862491145376
1199677a74a91782
123229152673b600
131182726c525135
146025b92913c64
152961937b4ca86
hex136033bb3b4a0

340862491145376 has 192 divisors, whose sum is σ = 1035843816591360. Its totient is φ = 108928018563840.

The previous prime is 340862491145329. The next prime is 340862491145401. The reversal of 340862491145376 is 673541194268043.

340862491145376 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 6 + 2 + 4 + 91 + 1 + 4 + 537 + 6 = 666.

It is a hoax number, since the sum of its digits (63) 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56603026 + ... + 62334801.

It is an arithmetic number, because the mean of its divisors is an integer number (5395019878080).

It is a 1-persistent number, because it is pandigital, but 2⋅340862491145376 = 681724982290752 is not.

Almost surely, 2340862491145376 is an apocalyptic number.

340862491145376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

340862491145376 is an abundant number, since it is smaller than the sum of its proper divisors (694981325445984).

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

340862491145376 is a wasteful number, since it uses less digits than its factorization.

340862491145376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118937984 (or 118937970 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 340862491145376 in words is "three hundred forty trillion, eight hundred sixty-two billion, four hundred ninety-one million, one hundred forty-five thousand, three hundred seventy-six".