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31368420 = 22325229761
BaseRepresentation
bin111011110101…
…0010011100100
32012000200101100
41313222103210
531012242140
63040200100
7530425056
oct167522344
965020340
1031368420
1116785616
12a609030
136663ac5
1442478d6
152b49530
hex1dea4e4

31368420 has 72 divisors (see below), whose sum is σ = 95691960. Its totient is φ = 8317440.

The previous prime is 31368419. The next prime is 31368427. The reversal of 31368420 is 2486313.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1425636 + 29942784 = 1194^2 + 5472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31368427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40840 + ... + 41600.

It is an arithmetic number, because the mean of its divisors is an integer number (1329055).

Almost surely, 231368420 is an apocalyptic number.

31368420 is a gapful number since it is divisible by the number (30) 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 31368420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47845980).

31368420 is an abundant number, since it is smaller than the sum of its proper divisors (64323540).

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

31368420 is a wasteful number, since it uses less digits than its factorization.

31368420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31368420 is about 5600.7517352584. The cubic root of 31368420 is about 315.3776272342.

The spelling of 31368420 in words is "thirty-one million, three hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 761 916 1145 1374 1522 2061 2283 2290 2748 3044 3435 3805 4122 4566 4580 6849 6870 7610 8244 9132 10305 11415 13698 13740 15220 20610 22830 27396 34245 41220 45660 68490 136980 174269 348538 522807 697076 871345 1045614 1568421 1742690 2091228 2614035 3136842 3485380 5228070 6273684 7842105 10456140 15684210 31368420