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168044328 = 233329139193
BaseRepresentation
bin10100000010000…
…10011100101000
3102201012112111000
422001002130220
5321004404303
624401435000
74110232104
oct1201023450
9381175430
10168044328
1186947211
124833ba60
1328a7911a
1418464904
15eb45da3
hexa042728

168044328 has 128 divisors (see below), whose sum is σ = 488880000. Its totient is φ = 53415936.

The previous prime is 168044323. The next prime is 168044329. The reversal of 168044328 is 823440861.

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

It is a junction number, because it is equal to n+sod(n) for n = 168044292 and 168044301.

It is not an unprimeable number, because it can be changed into a prime (168044323) 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, 870600 + ... + 870792.

It is an arithmetic number, because the mean of its divisors is an integer number (3819375).

Almost surely, 2168044328 is an apocalyptic number.

168044328 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 168044328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244440000).

168044328 is an abundant number, since it is smaller than the sum of its proper divisors (320835672).

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

168044328 is a wasteful number, since it uses less digits than its factorization.

168044328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

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

The square root of 168044328 is about 12963.1912737566. The cubic root of 168044328 is about 551.8333617985.

The spelling of 168044328 in words is "one hundred sixty-eight million, forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 139 174 193 216 232 261 278 348 386 417 522 556 579 696 772 783 834 1044 1112 1158 1251 1544 1566 1668 1737 2088 2316 2502 3132 3336 3474 3753 4031 4632 5004 5211 5597 6264 6948 7506 8062 10008 10422 11194 12093 13896 15012 16124 16791 20844 22388 24186 26827 30024 32248 33582 36279 41688 44776 48372 50373 53654 67164 72558 80481 96744 100746 107308 108837 134328 145116 151119 160962 201492 214616 217674 241443 290232 302238 321924 402984 435348 482886 604476 643848 724329 777983 870696 965772 1208952 1448658 1555966 1931544 2333949 2897316 3111932 4667898 5794632 6223864 7001847 9335796 14003694 18671592 21005541 28007388 42011082 56014776 84022164 168044328