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30764016 = 2433175971
BaseRepresentation
bin111010101011…
…0101111110000
32010212222022000
41311112233300
530333422031
63015214000
7522330003
oct165265760
963788260
1030764016
1116402508
12a377300
1364b197a
14412b53a
152a7a3e6
hex1d56bf0

30764016 has 160 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 9354240.

The previous prime is 30764003. The next prime is 30764039. The reversal of 30764016 is 61046703.

30764016 is a `hidden beast` number, since 3 + 0 + 7 + 640 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433261 + ... + 433331.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 230764016 is an apocalyptic number.

30764016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30764016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

30764016 is an abundant number, since it is smaller than the sum of its proper divisors (65658384).

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

30764016 is a wasteful number, since it uses less digits than its factorization.

30764016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30764016 is about 5546.5318893882. The cubic root of 30764016 is about 313.3389204778.

The spelling of 30764016 in words is "thirty million, seven hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 68 71 72 102 108 118 136 142 144 153 177 204 213 216 236 272 284 306 354 408 426 432 459 472 531 568 612 639 708 816 852 918 944 1003 1062 1136 1207 1224 1278 1416 1593 1704 1836 1917 2006 2124 2414 2448 2556 2832 3009 3186 3408 3621 3672 3834 4012 4189 4248 4828 5112 6018 6372 7242 7344 7668 8024 8378 8496 9027 9656 10224 10863 12036 12567 12744 14484 15336 16048 16756 18054 19312 21726 24072 25134 25488 27081 28968 30672 32589 33512 36108 37701 43452 48144 50268 54162 57936 65178 67024 71213 72216 75402 86904 100536 108324 113103 130356 142426 144432 150804 173808 201072 213639 216648 226206 260712 284852 301608 427278 433296 452412 521424 569704 603216 640917 854556 904824 1139408 1281834 1709112 1809648 1922751 2563668 3418224 3845502 5127336 7691004 10254672 15382008 30764016