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345152304 = 24327342413
BaseRepresentation
bin10100100100101…
…001101100110000
3220001110112221200
4110210221230300
51201324333204
654125451200
711360513640
oct2444515460
9801415850
10345152304
11167914042
1297710b00
1356679843
1433ba8520
152047c539
hex14929b30

345152304 has 60 divisors (see below), whose sum is σ = 1103942736. Its totient is φ = 98614656.

The previous prime is 345152273. The next prime is 345152321. The reversal of 345152304 is 403251543.

345152304 is a `hidden beast` number, since 345 + 15 + 2 + 304 = 666.

345152304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3451523043 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170199 + ... + 172214.

Almost surely, 2345152304 is an apocalyptic number.

It is an amenable number.

345152304 is an abundant number, since it is smaller than the sum of its proper divisors (758790432).

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

345152304 is a wasteful number, since it uses less digits than its factorization.

345152304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342434 (or 342425 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 345152304 is about 18578.2750544823. The cubic root of 345152304 is about 701.4611005237.

It can be divided in two parts, 3451 and 52304, that added together give a palindrome (55755).

The spelling of 345152304 in words is "three hundred forty-five million, one hundred fifty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 342413 684826 1027239 1369652 2054478 2396891 2739304 3081717 4108956 4793782 5478608 6163434 7190673 8217912 9587564 12326868 14381346 16435824 19175128 21572019 24653736 28762692 38350256 43144038 49307472 57525384 86288076 115050768 172576152 345152304