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30811768 = 23131931503
BaseRepresentation
bin111010110001…
…0011001111000
32010222101210121
41311202121320
530341434033
63020223024
7522616141
oct165423170
963871717
1030811768
1116435379
12a39aa74
1364ca620
144140ac8
152a8962d
hex1d62678

30811768 has 64 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 13011840.

The previous prime is 30811763. The next prime is 30811777. The reversal of 30811768 is 86711803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30811763) 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 15 ways as a sum of consecutive naturals, for example, 61005 + ... + 61507.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 230811768 is an apocalyptic number.

30811768 is a gapful number since it is divisible by the number (38) 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 30811768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

30811768 is an abundant number, since it is smaller than the sum of its proper divisors (36925832).

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

30811768 is a wasteful number, since it uses less digits than its factorization.

30811768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 30811768 is about 5550.8348921581. The cubic root of 30811768 is about 313.5009585459.

The spelling of 30811768 in words is "thirty million, eight hundred eleven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 104 124 152 247 248 403 494 503 589 806 988 1006 1178 1612 1976 2012 2356 3224 4024 4712 6539 7657 9557 13078 15314 15593 19114 26156 30628 31186 38228 52312 61256 62372 76456 124241 124744 202709 248482 296267 405418 496964 592534 810836 993928 1185068 1621672 2370136 3851471 7702942 15405884 30811768