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168164352 = 2103271257
BaseRepresentation
bin10100000010111…
…11110000000000
3102201102122010100
422001133300000
5321022224402
624404202400
74111242036
oct1201376000
9381378110
10168164352
1186a19404
1248399400
1328abb945
1418496556
15eb6b71c
hexa05fc00

168164352 has 132 divisors (see below), whose sum is σ = 494325936. Its totient is φ = 55050240.

The previous prime is 168164317. The next prime is 168164363. The reversal of 168164352 is 253461861.

It is a happy number.

168164352 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 643 + 5 + 2 = 666.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654208 + ... + 654464.

Almost surely, 2168164352 is an apocalyptic number.

168164352 is a gapful number since it is divisible by the number (12) 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 168164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247162968).

168164352 is an abundant number, since it is smaller than the sum of its proper divisors (326161584).

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

168164352 is a wasteful number, since it uses less digits than its factorization.

168164352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 168164352 is about 12967.8198630302. The cubic root of 168164352 is about 551.9647110396.

The spelling of 168164352 in words is "one hundred sixty-eight million, one hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 256 257 284 288 384 426 512 514 568 576 639 768 771 852 1024 1028 1136 1152 1278 1536 1542 1704 2056 2272 2304 2313 2556 3072 3084 3408 4112 4544 4608 4626 5112 6168 6816 8224 9088 9216 9252 10224 12336 13632 16448 18176 18247 18504 20448 24672 27264 32896 36352 36494 37008 40896 49344 54528 54741 65792 72704 72988 74016 81792 98688 109056 109482 131584 145976 148032 163584 164223 197376 218112 218964 263168 291952 296064 327168 328446 394752 437928 583904 592128 654336 656892 789504 875856 1167808 1184256 1313784 1751712 2335616 2368512 2627568 3503424 4671232 5255136 7006848 9342464 10510272 14013696 18684928 21020544 28027392 42041088 56054784 84082176 168164352