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31364340 = 22357531409
BaseRepresentation
bin111011110100…
…1010011110100
32012000110210020
41313221103310
531012124330
63040125140
7530410140
oct167512364
965013706
1031364340
1116782547
12a6067b0
136661ca7
144246220
152b48210
hex1de94f4

31364340 has 96 divisors (see below), whose sum is σ = 102332160. Its totient is φ = 7028736.

The previous prime is 31364323. The next prime is 31364353. The reversal of 31364340 is 4346313.

It is a self number, because there is not a number n which added to its sum of digits gives 31364340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21556 + ... + 22964.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 231364340 is an apocalyptic number.

31364340 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 31364340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51166080).

31364340 is an abundant number, since it is smaller than the sum of its proper divisors (70967820).

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

31364340 is a wasteful number, since it uses less digits than its factorization.

31364340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 31364340 is about 5600.3874865941. The cubic root of 31364340 is about 315.3639532216.

The spelling of 31364340 in words is "thirty-one million, three hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1409 1484 1590 1855 2226 2818 3180 3710 4227 4452 5565 5636 7045 7420 8454 9863 11130 14090 16908 19726 21135 22260 28180 29589 39452 42270 49315 59178 74677 84540 98630 118356 147945 149354 197260 224031 295890 298708 373385 448062 522739 591780 746770 896124 1045478 1120155 1493540 1568217 2090956 2240310 2613695 3136434 4480620 5227390 6272868 7841085 10454780 15682170 31364340