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23034592 = 2571723263
BaseRepresentation
bin101011111011…
…1101011100000
31121100021112001
41113313223200
521344101332
62141413344
7366535150
oct127675340
947307461
1023034592
1112003259
12786a254
134a06749
1430b8760
1520500e7
hex15f7ae0

23034592 has 96 divisors (see below), whose sum is σ = 57480192. Its totient is φ = 8853504.

The previous prime is 23034587. The next prime is 23034623. The reversal of 23034592 is 29543032.

It is a super-3 number, since 3×230345923 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23034592.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87453 + ... + 87715.

It is an arithmetic number, because the mean of its divisors is an integer number (598752).

Almost surely, 223034592 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 23034592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740096).

23034592 is an abundant number, since it is smaller than the sum of its proper divisors (34445600).

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

23034592 is a wasteful number, since it uses less digits than its factorization.

23034592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 23034592 is about 4799.4366336061. The cubic root of 23034592 is about 284.5291990997.

The spelling of 23034592 in words is "twenty-three million, thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 161 184 224 238 263 272 322 368 391 476 526 544 644 736 782 952 1052 1288 1564 1841 1904 2104 2576 2737 3128 3682 3808 4208 4471 5152 5474 6049 6256 7364 8416 8942 10948 12098 12512 14728 17884 21896 24196 29456 31297 35768 42343 43792 48392 58912 62594 71536 84686 87584 96784 102833 125188 143072 169372 193568 205666 250376 338744 411332 500752 677488 719831 822664 1001504 1354976 1439662 1645328 2879324 3290656 5758648 11517296 23034592