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678396264 = 2337131072903
BaseRepresentation
bin101000011011111…
…000000101101000
31202021112002201120
4220123320011220
52342132140024
6151152215240
722545162450
oct5033700550
91667462646
10678396264
11318a34177
1216b23a520
13aa717010
1466152d60
153e856479
hex286f8168

678396264 has 128 divisors (see below), whose sum is σ = 2107607040. Its totient is φ = 177184512.

The previous prime is 678396263. The next prime is 678396289. The reversal of 678396264 is 462693876.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (678396263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232237 + ... + 235139.

It is an arithmetic number, because the mean of its divisors is an integer number (16465680).

Almost surely, 2678396264 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 678396264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053803520).

678396264 is an abundant number, since it is smaller than the sum of its proper divisors (1429210776).

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

678396264 is a wasteful number, since it uses less digits than its factorization.

678396264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039 (or 3035 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 678396264 is about 26046.0412347059. The cubic root of 678396264 is about 878.6740810303.

The spelling of 678396264 in words is "six hundred seventy-eight million, three hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 107 156 168 182 214 273 312 321 364 428 546 642 728 749 856 1092 1284 1391 1498 2184 2247 2568 2782 2903 2996 4173 4494 5564 5806 5992 8346 8709 8988 9737 11128 11612 16692 17418 17976 19474 20321 23224 29211 33384 34836 37739 38948 40642 58422 60963 69672 75478 77896 81284 113217 116844 121926 150956 162568 226434 233688 243852 264173 301912 310621 452868 487704 528346 621242 792519 905736 931863 1056692 1242484 1585038 1863726 2113384 2174347 2484968 3170076 3727452 4038073 4348694 6340152 6523041 7454904 8076146 8697388 12114219 13046082 16152292 17394776 24228438 26092164 28266511 32304584 48456876 52184328 56533022 84799533 96913752 113066044 169599066 226132088 339198132 678396264