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12434664 = 23311193767
BaseRepresentation
bin101111011011…
…110011101000
3212101202011010
4233123303220
511140402124
61122303520
7210456444
oct57336350
925352133
1012434664
117023390
1241b7ba0
132764ab8
141919824
151159529
hexbdbce8

12434664 has 128 divisors (see below), whose sum is σ = 37209600. Its totient is φ = 3421440.

The previous prime is 12434659. The next prime is 12434687. The reversal of 12434664 is 46643421.

12434664 = T487 + T488 + ... + T574.

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, 185559 + ... + 185625.

It is an arithmetic number, because the mean of its divisors is an integer number (290700).

Almost surely, 212434664 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 12434664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604800).

12434664 is an abundant number, since it is smaller than the sum of its proper divisors (24774936).

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

12434664 is a wasteful number, since it uses less digits than its factorization.

12434664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 12434664 is about 3526.2818945739. The cubic root of 12434664 is about 231.6743846666.

The spelling of 12434664 in words is "twelve million, four hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 37 38 44 57 66 67 74 76 88 111 114 132 134 148 152 201 209 222 228 264 268 296 402 407 418 444 456 536 627 703 737 804 814 836 888 1221 1254 1273 1406 1474 1608 1628 1672 2109 2211 2442 2479 2508 2546 2812 2948 3256 3819 4218 4422 4884 4958 5016 5092 5624 5896 7437 7638 7733 8436 8844 9768 9916 10184 14003 14874 15276 15466 16872 17688 19832 23199 27269 28006 29748 30552 30932 42009 46398 47101 54538 56012 59496 61864 81807 84018 92796 94202 109076 112024 141303 163614 168036 185592 188404 218152 282606 327228 336072 376808 518111 565212 654456 1036222 1130424 1554333 2072444 3108666 4144888 6217332 12434664