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345630300804 = 223319716245079
BaseRepresentation
bin1010000011110010010…
…10111101101010000100
31020001010120101110222000
411001321022331222010
521130322324111204
6422440320505300
733654020040315
oct5017112755204
91201116343860
10345630300804
111236433266a8
1256b9aa7b230
13267924b74b9
1412a2b3a460c
158ecd603039
hex50792bda84

345630300804 has 48 divisors (see below), whose sum is σ = 900627235200. Its totient is φ = 114625270368.

The previous prime is 345630300803. The next prime is 345630300811. The reversal of 345630300804 is 408003036543.

345630300804 is a `hidden beast` number, since 345 + 6 + 3 + 0 + 300 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (345630300803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8101264 + ... + 8143815.

It is an arithmetic number, because the mean of its divisors is an integer number (18763067400).

Almost surely, 2345630300804 is an apocalyptic number.

It is an amenable number.

345630300804 is an abundant number, since it is smaller than the sum of its proper divisors (554996934396).

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

345630300804 is a wasteful number, since it uses less digits than its factorization.

345630300804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16245289 (or 16245281 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 345630300804 in words is "three hundred forty-five billion, six hundred thirty million, three hundred thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 10638 21276 16245079 32490158 48735237 64980316 97470474 146205711 194940948 292411422 438617133 584822844 877234266 1754468532 3200280563 6400561126 9600841689 12801122252 19201683378 28802525067 38403366756 57605050134 86407575201 115210100268 172815150402 345630300804