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234032512 = 2771491753
BaseRepresentation
bin11011111001100…
…00110110000000
3121022101002020211
431330300312000
5434403020022
635120043504
75541146350
oct1574606600
9538332224
10234032512
111101180aa
1266463594
133964189c
1423120b60
151582ce77
hexdf30d80

234032512 has 64 divisors (see below), whose sum is σ = 536724000. Its totient is φ = 99569664.

The previous prime is 234032507. The next prime is 234032537. The reversal of 234032512 is 215230432.

234032512 is digitally balanced in base 3, 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132628 + ... + 134380.

Almost surely, 2234032512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234032512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268362000).

234032512 is an abundant number, since it is smaller than the sum of its proper divisors (302691488).

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

234032512 is a wasteful number, since it uses less digits than its factorization.

234032512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 234032512 is about 15298.1211918327. The cubic root of 234032512 is about 616.2525528766.

Adding to 234032512 its reverse (215230432), we get a palindrome (449262944).

The spelling of 234032512 in words is "two hundred thirty-four million, thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 298 448 596 896 1043 1192 1753 2086 2384 3506 4172 4768 7012 8344 9536 12271 14024 16688 19072 24542 28048 33376 49084 56096 66752 98168 112192 133504 196336 224384 261197 392672 522394 785344 1044788 1570688 1828379 2089576 3656758 4179152 7313516 8358304 14627032 16716608 29254064 33433216 58508128 117016256 234032512