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234364704 = 2537348757
BaseRepresentation
bin11011111100000…
…01111100100000
3121022222221221020
431332001330200
5434444132304
635131125440
75544032010
oct1576017440
9538887836
10234364704
11110324742
12665a3880
1339729b52
14231a9c40
15158965d9
hexdf81f20

234364704 has 48 divisors (see below), whose sum is σ = 703096128. Its totient is φ = 66961152.

The previous prime is 234364673. The next prime is 234364709. The reversal of 234364704 is 407463432.

234364704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (234364709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173707 + ... + 175050.

It is an arithmetic number, because the mean of its divisors is an integer number (14647836).

Almost surely, 2234364704 is an apocalyptic number.

234364704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234364704 is an abundant number, since it is smaller than the sum of its proper divisors (468731424).

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

234364704 is a wasteful number, since it uses less digits than its factorization.

234364704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348777 (or 348769 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 234364704 is about 15308.9746227499. The cubic root of 234364704 is about 616.5439901412.

The spelling of 234364704 in words is "two hundred thirty-four million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 348757 697514 1046271 1395028 2092542 2441299 2790056 4185084 4882598 5580112 7323897 8370168 9765196 11160224 14647794 16740336 19530392 29295588 33480672 39060784 58591176 78121568 117182352 234364704