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68346304 = 261327189
BaseRepresentation
bin1000001001011…
…10000111000000
311202121100111121
410010232013000
5114444040204
610440522024
71456635235
oct404560700
9152540447
1068346304
1135641654
121aa80314
131120cc00
14911178c
156000b54
hex412e1c0

68346304 has 84 divisors (see below), whose sum is σ = 150601680. Its totient is φ = 30750720.

The previous prime is 68346281. The next prime is 68346347. The reversal of 68346304 is 40364386.

It is a self number, because there is not a number n which added to its sum of digits gives 68346304.

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, 767892 + ... + 767980.

Almost surely, 268346304 is an apocalyptic number.

68346304 is a gapful number since it is divisible by the number (64) 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 68346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75300840).

68346304 is an abundant number, since it is smaller than the sum of its proper divisors (82255376).

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

68346304 is a wasteful number, since it uses less digits than its factorization.

68346304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 68346304 is about 8267.1823495070. The cubic root of 68346304 is about 408.8572262467.

The spelling of 68346304 in words is "sixty-eight million, three hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 89 104 142 169 178 208 284 338 356 416 568 676 712 832 923 1136 1157 1352 1424 1846 2272 2314 2704 2848 3692 4544 4628 5408 5696 6319 7384 9256 10816 11999 12638 14768 15041 18512 23998 25276 29536 30082 37024 47996 50552 59072 60164 74048 82147 95992 101104 120328 164294 191984 202208 240656 328588 383968 404416 481312 657176 767936 962624 1067911 1314352 2135822 2628704 4271644 5257408 8543288 17086576 34173152 68346304