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345204860814 = 232112158496263
BaseRepresentation
bin1010000010111111101…
…00000010011110001110
31020000000220211220000100
411001133310002132032
521123434421021224
6422330202111530
733640332621432
oct5013764023616
91200026756010
10345204860814
11123445165300
1256aa04ab5a6
1326725309668
14129caa9a9c2
158ea60b6ac9
hex505fd0278e

345204860814 has 36 divisors (see below), whose sum is σ = 822120121368. Its totient is φ = 104607532920.

The previous prime is 345204860813. The next prime is 345204860837. The reversal of 345204860814 is 418068402543.

345204860814 is a `hidden beast` number, since 3 + 4 + 5 + 20 + 4 + 8 + 608 + 14 = 666.

It is a super-2 number, since 2×3452048608142 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345204860814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345204860813) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 79245954 + ... + 79250309.

It is an arithmetic number, because the mean of its divisors is an integer number (22836670038).

Almost surely, 2345204860814 is an apocalyptic number.

345204860814 is an abundant number, since it is smaller than the sum of its proper divisors (476915260554).

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

345204860814 is a wasteful number, since it uses less digits than its factorization.

345204860814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158496293 (or 158496279 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 345204860814 in words is "three hundred forty-five billion, two hundred four million, eight hundred sixty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 158496263 316992526 475488789 950977578 1426466367 1743458893 2852932734 3486917786 5230376679 10460753358 15691130037 19178047823 31382260074 38356095646 57534143469 115068286938 172602430407 345204860814