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31634130 = 23511257373
BaseRepresentation
bin111100010101…
…1001011010010
32012112011212110
41320223023102
531044243010
63050010150
7532612533
oct170531322
965464773
1031634130
1116947210
12a716956
136727a28
1442b668a
152b9d120
hex1e2b2d2

31634130 has 64 divisors (see below), whose sum is σ = 83369088. Its totient is φ = 7618560.

The previous prime is 31634129. The next prime is 31634143. The reversal of 31634130 is 3143613.

It is a junction number, because it is equal to n+sod(n) for n = 31634097 and 31634106.

It is an unprimeable number.

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, 84624 + ... + 84996.

It is an arithmetic number, because the mean of its divisors is an integer number (1302642).

Almost surely, 231634130 is an apocalyptic number.

31634130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31634130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41684544).

31634130 is an abundant number, since it is smaller than the sum of its proper divisors (51734958).

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

31634130 is a wasteful number, since it uses less digits than its factorization.

31634130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 31634130 is about 5624.4226370357. The cubic root of 31634130 is about 316.2656061497.

Adding to 31634130 its reverse (3143613), we get a palindrome (34777743).

The spelling of 31634130 in words is "thirty-one million, six hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 257 330 373 514 746 771 1119 1285 1542 1865 2238 2570 2827 3730 3855 4103 5595 5654 7710 8206 8481 11190 12309 14135 16962 20515 24618 28270 41030 42405 61545 84810 95861 123090 191722 287583 479305 575166 958610 1054471 1437915 2108942 2875830 3163413 5272355 6326826 10544710 15817065 31634130