Search a number
-
+
68736384 = 273319889
BaseRepresentation
bin1000001100011…
…01010110000000
311210100011121000
410012031112000
5120044031014
610453132000
71463151423
oct406152600
9153304530
1068736384
1135888732
121b02a000
1311318622
1491b39ba
15607b509
hex418d580

68736384 has 64 divisors (see below), whose sum is σ = 202878000. Its totient is φ = 22910976.

The previous prime is 68736383. The next prime is 68736401. The reversal of 68736384 is 48363786.

68736384 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 638 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68736383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6489 + ... + 13400.

Almost surely, 268736384 is an apocalyptic number.

68736384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

68736384 is an abundant number, since it is smaller than the sum of its proper divisors (134141616).

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

68736384 is a wasteful number, since it uses less digits than its factorization.

68736384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19894 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 68736384 is about 8290.7408595372. The cubic root of 68736384 is about 409.6335889610.

The spelling of 68736384 in words is "sixty-eight million, seven hundred thirty-six thousand, three hundred eighty-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 19889 39778 59667 79556 119334 159112 179001 238668 318224 358002 477336 537003 636448 716004 954672 1074006 1272896 1432008 1909344 2148012 2545792 2864016 3818688 4296024 5728032 7637376 8592048 11456064 17184096 22912128 34368192 68736384