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23434992 = 2432767347
BaseRepresentation
bin101100101100…
…1011011110000
31122002121202200
41121121123300
521444404432
62154143200
7403123410
oct131313360
948077680
1023434992
1112257069
127a21b00
134b16a79
143180640
1520cda7c
hex16596f0

23434992 has 120 divisors (see below), whose sum is σ = 76292736. Its totient is φ = 6576768.

The previous prime is 23434991. The next prime is 23434997. The reversal of 23434992 is 29943432.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434991) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 67363 + ... + 67709.

Almost surely, 223434992 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 23434992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38146368).

23434992 is an abundant number, since it is smaller than the sum of its proper divisors (52857744).

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

23434992 is a wasteful number, since it uses less digits than its factorization.

23434992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 23434992 is about 4840.9701507033. The cubic root of 23434992 is about 286.1683524757.

The spelling of 23434992 in words is "twenty-three million, four hundred thirty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 347 402 469 504 536 603 694 804 938 1008 1041 1072 1206 1388 1407 1608 1876 2082 2412 2429 2776 2814 3123 3216 3752 4164 4221 4824 4858 5552 5628 6246 7287 7504 8328 8442 9648 9716 11256 12492 14574 16656 16884 19432 21861 22512 23249 24984 29148 33768 38864 43722 46498 49968 58296 67536 69747 87444 92996 116592 139494 162743 174888 185992 209241 278988 325486 349776 371984 418482 488229 557976 650972 836964 976458 1115952 1301944 1464687 1673928 1952916 2603888 2929374 3347856 3905832 5858748 7811664 11717496 23434992