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31370940 = 22325397439
BaseRepresentation
bin111011110101…
…0111010111100
32012000210211200
41313222322330
531012332230
63040215500
7530435316
oct167527274
965023750
1031370940
11167874a7
12a60a590
136664cb3
1442487b6
152b4a160
hex1deaebc

31370940 has 72 divisors (see below), whose sum is σ = 95615520. Its totient is φ = 8325504.

The previous prime is 31370921. The next prime is 31370959. The reversal of 31370940 is 4907313.

It is an interprime number because it is at equal distance from previous prime (31370921) and next prime (31370959).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71241 + ... + 71679.

Almost surely, 231370940 is an apocalyptic number.

31370940 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 31370940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47807760).

31370940 is an abundant number, since it is smaller than the sum of its proper divisors (64244580).

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

31370940 is a wasteful number, since it uses less digits than its factorization.

31370940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 31370940 is about 5600.9767005407. The cubic root of 31370940 is about 315.3860723556.

It can be divided in two parts, 313 and 70940, that added together give a triangular number (71253 = T377).

The spelling of 31370940 in words is "thirty-one million, three hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 439 794 878 1191 1317 1588 1756 1985 2195 2382 2634 3573 3951 3970 4390 4764 5268 5955 6585 7146 7902 7940 8780 11910 13170 14292 15804 17865 19755 23820 26340 35730 39510 71460 79020 174283 348566 522849 697132 871415 1045698 1568547 1742830 2091396 2614245 3137094 3485660 5228490 6274188 7842735 10456980 15685470 31370940