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23278032 = 24321737257
BaseRepresentation
bin101100011001…
…1000111010000
31121210122110100
41120303013100
521424344112
62150532400
7401600661
oct130630720
947718410
1023278032
111215a148
127967100
134a904ab
14313d368
15209c2dc
hex16331d0

23278032 has 120 divisors (see below), whose sum is σ = 71118216. Its totient is φ = 7077888.

The previous prime is 23277967. The next prime is 23278033. The reversal of 23278032 is 23087232.

It can be written as a sum of positive squares in 4 ways, for example, as 18455616 + 4822416 = 4296^2 + 2196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23277987 and 23278005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23278033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90448 + ... + 90704.

Almost surely, 223278032 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 23278032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35559108).

23278032 is an abundant number, since it is smaller than the sum of its proper divisors (47840184).

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

23278032 is a wasteful number, since it uses less digits than its factorization.

23278032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23278032 is about 4824.7312878543. The cubic root of 23278032 is about 285.5280330874.

The spelling of 23278032 in words is "twenty-three million, two hundred seventy-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 37 48 51 68 72 74 102 111 136 144 148 153 204 222 257 272 296 306 333 408 444 514 592 612 629 666 771 816 888 1028 1224 1258 1332 1542 1776 1887 2056 2313 2448 2516 2664 3084 3774 4112 4369 4626 5032 5328 5661 6168 7548 8738 9252 9509 10064 11322 12336 13107 15096 17476 18504 19018 22644 26214 28527 30192 34952 37008 38036 39321 45288 52428 57054 69904 76072 78642 85581 90576 104856 114108 152144 157284 161653 171162 209712 228216 314568 323306 342324 456432 484959 629136 646612 684648 969918 1293224 1369296 1454877 1939836 2586448 2909754 3879672 5819508 7759344 11639016 23278032