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234043664 = 24101144829
BaseRepresentation
bin11011111001100…
…11100100010000
3121022101122112212
431330303210100
5434403344124
635120211252
75541224021
oct1574634420
9538348485
10234043664
11110125518
1266469b28
133964699a
1423124c48
151583140e
hexdf33910

234043664 has 20 divisors (see below), whose sum is σ = 457952460. Its totient is φ = 115862400.

The previous prime is 234043651. The next prime is 234043669. The reversal of 234043664 is 466340432.

234043664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 149035264 + 85008400 = 12208^2 + 9220^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 234043664.

It is not an unprimeable number, because it can be changed into a prime (234043669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70799 + ... + 74030.

It is an arithmetic number, because the mean of its divisors is an integer number (22897623).

Almost surely, 2234043664 is an apocalyptic number.

It is an amenable number.

234043664 is a deficient number, since it is larger than the sum of its proper divisors (223908796).

234043664 is a wasteful number, since it uses less digits than its factorization.

234043664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144938 (or 144932 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 234043664 is about 15298.4856766936. The cubic root of 234043664 is about 616.2623411737.

The spelling of 234043664 in words is "two hundred thirty-four million, forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 101 202 404 808 1616 144829 289658 579316 1158632 2317264 14627729 29255458 58510916 117021832 234043664