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30311320 = 2351371821
BaseRepresentation
bin111001110100…
…0001110011000
32010000222022111
41303220032120
530224430240
63001402104
7515433124
oct163501630
963028274
1030311320
1116123386
12a199334
1363838c0
144050584
1529db1ea
hex1ce8398

30311320 has 64 divisors (see below), whose sum is σ = 74571840. Its totient is φ = 11020800.

The previous prime is 30311297. The next prime is 30311329. The reversal of 30311320 is 2311303.

It is a super-2 number, since 2×303113202 = 1837552240284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 30311320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36510 + ... + 37330.

It is an arithmetic number, because the mean of its divisors is an integer number (1165185).

Almost surely, 230311320 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 30311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37285920).

30311320 is an abundant number, since it is smaller than the sum of its proper divisors (44260520).

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

30311320 is a wasteful number, since it uses less digits than its factorization.

30311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 30311320 is about 5505.5717232636. The cubic root of 30311320 is about 311.7943801880.

Adding to 30311320 its reverse (2311303), we get a palindrome (32622623).

The spelling of 30311320 in words is "thirty million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 821 923 1420 1642 1846 2840 3284 3692 4105 4615 6568 7384 8210 9230 10673 16420 18460 21346 32840 36920 42692 53365 58291 85384 106730 116582 213460 233164 291455 426920 466328 582910 757783 1165820 1515566 2331640 3031132 3788915 6062264 7577830 15155660 30311320