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68587344 = 2433737613
BaseRepresentation
bin1000001011010…
…00111101010000
311210001121011000
410011220331100
5120024243334
610450022000
71461661050
oct405507520
9153047130
1068587344
1135796761
121ab77900
1311295837
149175560
15604c299
hex4168f50

68587344 has 160 divisors (see below), whose sum is σ = 231453440. Its totient is φ = 19035648.

The previous prime is 68587339. The next prime is 68587423. The reversal of 68587344 is 44378586.

68587344 is a `hidden beast` number, since 68 + 587 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68587344.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 111582 + ... + 112194.

It is an arithmetic number, because the mean of its divisors is an integer number (1446584).

Almost surely, 268587344 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 68587344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115726720).

68587344 is an abundant number, since it is smaller than the sum of its proper divisors (162866096).

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

68587344 is a wasteful number, since it uses less digits than its factorization.

68587344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 68587344 is about 8281.7476416515. The cubic root of 68587344 is about 409.3373074012.

The spelling of 68587344 in words is "sixty-eight million, five hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 84 108 111 112 126 144 148 168 189 216 222 252 259 296 333 336 378 432 444 504 518 592 613 666 756 777 888 999 1008 1036 1226 1332 1512 1554 1776 1839 1998 2072 2331 2452 2664 3024 3108 3678 3996 4144 4291 4662 4904 5328 5517 6216 6993 7356 7992 8582 9324 9808 11034 12432 12873 13986 14712 15984 16551 17164 18648 22068 22681 25746 27972 29424 33102 34328 37296 38619 44136 45362 51492 55944 66204 68043 68656 77238 88272 90724 102984 111888 115857 132408 136086 154476 158767 181448 204129 205968 231714 264816 272172 308952 317534 362896 408258 463428 476301 544344 612387 617904 635068 816516 926856 952602 1088688 1224774 1270136 1428903 1633032 1853712 1905204 2449548 2540272 2857806 3266064 3810408 4286709 4899096 5715612 7620816 8573418 9798192 11431224 17146836 22862448 34293672 68587344