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164674356 = 223711315749
BaseRepresentation
bin10011101000010…
…11101100110100
3102110212022202020
421310023230310
5314124034411
624201313140
74036465110
oct1164135464
9373768666
10164674356
1184a55310
12471957b0
1328169262
1417c28740
15e6cc606
hex9d0bb34

164674356 has 96 divisors (see below), whose sum is σ = 494592000. Its totient is φ = 41385600.

The previous prime is 164674337. The next prime is 164674357. The reversal of 164674356 is 653476461.

164674356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164674357) 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, 25770 + ... + 31518.

It is an arithmetic number, because the mean of its divisors is an integer number (5152000).

Almost surely, 2164674356 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 164674356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247296000).

164674356 is an abundant number, since it is smaller than the sum of its proper divisors (329917644).

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

164674356 is a wasteful number, since it uses less digits than its factorization.

164674356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5805 (or 5803 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 164674356 is about 12832.5506427990. The cubic root of 164674356 is about 548.1195904661.

The spelling of 164674356 in words is "one hundred sixty-four million, six hundred seventy-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 5749 7161 9548 11498 14322 17247 22996 28644 34494 40243 63239 68988 80486 120729 126478 160972 178219 189717 241458 252956 356438 379434 442673 482916 534657 712876 758868 885346 1069314 1247533 1328019 1770692 1960409 2138628 2495066 2656038 3742599 3920818 4990132 5312076 5881227 7485198 7841636 11762454 13722863 14970396 23524908 27445726 41168589 54891452 82337178 164674356