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68114304 = 273319709
BaseRepresentation
bin1000000111101…
…01011110000000
311202011120021000
410003311132000
5114414124204
610431532000
71454650656
oct403653600
9152146230
1068114304
11354a3315
121a98a000
131115b42b
149090dd6
155ea7039
hex40f5780

68114304 has 64 divisors (see below), whose sum is σ = 201042000. Its totient is φ = 22703616.

The previous prime is 68114303. The next prime is 68114311. The reversal of 68114304 is 40341186.

68114304 = 3832 + 3842 + ... + 6382.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68114303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6399 + ... + 13310.

Almost surely, 268114304 is an apocalyptic number.

68114304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

68114304 is an abundant number, since it is smaller than the sum of its proper divisors (132927696).

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

68114304 is a wasteful number, since it uses less digits than its factorization.

68114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19732 (or 19714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68114304 is about 8253.1390391778. The cubic root of 68114304 is about 408.3940829047.

The spelling of 68114304 in words is "sixty-eight million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 19709 39418 59127 78836 118254 157672 177381 236508 315344 354762 473016 532143 630688 709524 946032 1064286 1261376 1419048 1892064 2128572 2522752 2838096 3784128 4257144 5676192 7568256 8514288 11352384 17028576 22704768 34057152 68114304