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23364264 = 23371147269
BaseRepresentation
bin101100100100…
…0001010101000
31121222000202010
41121020022220
521440124024
62152435520
7402410250
oct131101250
947860663
1023364264
1112208a10
1279a8ba0
134ac0811
143162960
1520b7b29
hex16482a8

23364264 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 5917440.

The previous prime is 23364233. The next prime is 23364277. The reversal of 23364264 is 46246332.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86722 + ... + 86990.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 223364264 is an apocalyptic number.

23364264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23364264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

23364264 is an abundant number, since it is smaller than the sum of its proper divisors (51285336).

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

23364264 is a wasteful number, since it uses less digits than its factorization.

23364264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 23364264 is about 4833.6594832487. The cubic root of 23364264 is about 285.8801721435.

The spelling of 23364264 in words is "twenty-three million, three hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 47 56 66 77 84 88 94 132 141 154 168 188 231 264 269 282 308 329 376 462 517 538 564 616 658 807 924 987 1034 1076 1128 1316 1551 1614 1848 1883 1974 2068 2152 2632 2959 3102 3228 3619 3766 3948 4136 5649 5918 6204 6456 7238 7532 7896 8877 10857 11298 11836 12408 12643 14476 15064 17754 20713 21714 22596 23672 25286 28952 35508 37929 41426 43428 45192 50572 62139 71016 75858 82852 86856 88501 101144 124278 139073 151716 165704 177002 248556 265503 278146 303432 354004 417219 497112 531006 556292 708008 834438 973511 1062012 1112584 1668876 1947022 2124024 2920533 3337752 3894044 5841066 7788088 11682132 23364264