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168423408 = 24333741257
BaseRepresentation
bin10100000100111…
…10111111110000
3102201220210111000
422002132333300
5321104022113
624413522000
74113401226
oct1202367760
9381823430
10168423408
1187085aaa
12484a3300
1328b7c82a
1418522b16
15ebbd373
hexa09eff0

168423408 has 160 divisors (see below), whose sum is σ = 510592320. Its totient is φ = 53084160.

The previous prime is 168423407. The next prime is 168423433. The reversal of 168423408 is 804324861.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168423407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655216 + ... + 655472.

It is an arithmetic number, because the mean of its divisors is an integer number (3191202).

Almost surely, 2168423408 is an apocalyptic number.

168423408 is a gapful number since it is divisible by the number (18) 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 168423408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255296160).

168423408 is an abundant number, since it is smaller than the sum of its proper divisors (342168912).

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

168423408 is a wasteful number, since it uses less digits than its factorization.

168423408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 168423408 is about 12977.8044368067. The cubic root of 168423408 is about 552.2479982055.

The spelling of 168423408 in words is "one hundred sixty-eight million, four hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 41 48 54 72 74 82 108 111 123 144 148 164 216 222 246 257 296 328 333 369 432 444 492 514 592 656 666 738 771 888 984 999 1028 1107 1332 1476 1517 1542 1776 1968 1998 2056 2214 2313 2664 2952 3034 3084 3996 4112 4428 4551 4626 5328 5904 6068 6168 6939 7992 8856 9102 9252 9509 10537 12136 12336 13653 13878 15984 17712 18204 18504 19018 21074 24272 27306 27756 28527 31611 36408 37008 38036 40959 42148 54612 55512 57054 63222 72816 76072 81918 84296 85581 94833 109224 111024 114108 126444 152144 163836 168592 171162 189666 218448 228216 252888 256743 284499 327672 342324 379332 389869 456432 505776 513486 568998 655344 684648 758664 779738 1026972 1137996 1169607 1369296 1517328 1559476 2053944 2275992 2339214 3118952 3508821 4107888 4551984 4678428 6237904 7017642 9356856 10526463 14035284 18713712 21052926 28070568 42105852 56141136 84211704 168423408