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934690536 = 2333131272621
BaseRepresentation
bin110111101101100…
…011111011101000
32102010210012101000
4313231203323220
53403240044121
6232425355000
732106511203
oct6755437350
92363705330
10934690536
1143a67691a
12221038a60
1311b851630
148c1ca93a
15570d0526
hex37b63ee8

934690536 has 128 divisors (see below), whose sum is σ = 2819174400. Its totient is φ = 285223680.

The previous prime is 934690531. The next prime is 934690577. The reversal of 934690536 is 635096439.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 934690491 and 934690500.

It is not an unprimeable number, because it can be changed into a prime (934690531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355306 + ... + 357926.

It is an arithmetic number, because the mean of its divisors is an integer number (22024800).

Almost surely, 2934690536 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 934690536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409587200).

934690536 is an abundant number, since it is smaller than the sum of its proper divisors (1884483864).

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

934690536 is a wasteful number, since it uses less digits than its factorization.

934690536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 934690536 is about 30572.7090065634. The cubic root of 934690536 is about 977.7382716400.

The spelling of 934690536 in words is "nine hundred thirty-four million, six hundred ninety thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 127 156 216 234 254 312 351 381 468 508 702 762 936 1016 1143 1404 1524 1651 2286 2621 2808 3048 3302 3429 4572 4953 5242 6604 6858 7863 9144 9906 10484 13208 13716 14859 15726 19812 20968 23589 27432 29718 31452 34073 39624 44577 47178 59436 62904 68146 70767 89154 94356 102219 118872 136292 141534 178308 188712 204438 272584 283068 306657 332867 356616 408876 566136 613314 665734 817752 919971 998601 1226628 1331468 1839942 1997202 2453256 2662936 2995803 3679884 3994404 4327271 5991606 7359768 7988808 8654542 8987409 11983212 12981813 17309084 17974818 23966424 25963626 34618168 35949636 38945439 51927252 71899272 77890878 103854504 116836317 155781756 233672634 311563512 467345268 934690536