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31310040 = 23351132309
BaseRepresentation
bin111011101110…
…0000011011000
32011220201022010
41313130003120
531003410130
63035025520
7530062626
oct167340330
964821263
1031310040
1116745773
12a59b2a0
136643368
144230516
152b370b0
hex1ddc0d8

31310040 has 64 divisors (see below), whose sum is σ = 94802400. Its totient is φ = 8271872.

The previous prime is 31310017. The next prime is 31310047. The reversal of 31310040 is 4001313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31309998 and 31310025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31310047) 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, 12406 + ... + 14714.

Almost surely, 231310040 is an apocalyptic number.

31310040 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 31310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47401200).

31310040 is an abundant number, since it is smaller than the sum of its proper divisors (63492360).

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

31310040 is a wasteful number, since it uses less digits than its factorization.

31310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 31310040 is about 5595.5375076931. The cubic root of 31310040 is about 315.1818551830.

Adding to 31310040 its reverse (4001313), we get a palindrome (35311353).

The spelling of 31310040 in words is "thirty-one million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2309 2712 3390 4520 4618 6780 6927 9236 11545 13560 13854 18472 23090 27708 34635 46180 55416 69270 92360 138540 260917 277080 521834 782751 1043668 1304585 1565502 2087336 2609170 3131004 3913755 5218340 6262008 7827510 10436680 15655020 31310040