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31340520 = 2334517569
BaseRepresentation
bin111011110001…
…1011111101000
32011222021010000
41313203133220
531010344040
63035423000
7530250531
oct167433750
964867100
1031340520
1116766662
12a5b4a60
1366541b3
14423b688
152b41130
hex1de37e8

31340520 has 160 divisors (see below), whose sum is σ = 111731400. Its totient is φ = 7852032.

The previous prime is 31340509. The next prime is 31340527. The reversal of 31340520 is 2504313.

It can be written as a sum of positive squares in 4 ways, for example, as 24147396 + 7193124 = 4914^2 + 2682^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31340493 and 31340502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31340527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54796 + ... + 55364.

Almost surely, 231340520 is an apocalyptic number.

31340520 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 31340520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55865700).

31340520 is an abundant number, since it is smaller than the sum of its proper divisors (80390880).

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

31340520 is a wasteful number, since it uses less digits than its factorization.

31340520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31340520 is about 5598.2604441023. The cubic root of 31340520 is about 315.2840974379.

Adding to 31340520 its reverse (2504313), we get a palindrome (33844833).

The spelling of 31340520 in words is "thirty-one million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 569 612 648 680 765 810 918 1020 1080 1138 1224 1377 1530 1620 1707 1836 2040 2276 2295 2754 2845 3060 3240 3414 3672 4552 4590 5121 5508 5690 6120 6828 6885 8535 9180 9673 10242 11016 11380 13656 13770 15363 17070 18360 19346 20484 22760 25605 27540 29019 30726 34140 38692 40968 46089 48365 51210 55080 58038 61452 68280 76815 77384 87057 92178 96730 102420 116076 122904 145095 153630 174114 184356 193460 204840 230445 232152 261171 290190 307260 348228 368712 386920 435285 460890 522342 580380 614520 696456 783513 870570 921780 1044684 1160760 1305855 1567026 1741140 1843560 2089368 2611710 3134052 3482280 3917565 5223420 6268104 7835130 10446840 15670260 31340520