Search a number
-
+
31514340 = 223511133673
BaseRepresentation
bin111100000110…
…1111011100100
32012022002112210
41320031323210
531031424330
63043243420
7531603354
oct170157344
965262483
1031514340
1116875210
12a679570
1366b5350
144284b64
152b778b0
hex1e0dee4

31514340 has 96 divisors (see below), whose sum is σ = 103694976. Its totient is φ = 7050240.

The previous prime is 31514309. The next prime is 31514401. The reversal of 31514340 is 4341513.

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, 6744 + ... + 10416.

It is an arithmetic number, because the mean of its divisors is an integer number (1080156).

Almost surely, 231514340 is an apocalyptic number.

31514340 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 31514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51847488).

31514340 is an abundant number, since it is smaller than the sum of its proper divisors (72180636).

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

31514340 is a wasteful number, since it uses less digits than its factorization.

31514340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 31514340 is about 5613.7634435377. The cubic root of 31514340 is about 315.8658967376.

Adding to 31514340 its reverse (4341513), we get a palindrome (35855853).

The spelling of 31514340 in words is "thirty-one million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 3673 4290 7346 8580 11019 14692 18365 22038 36730 40403 44076 47749 55095 73460 80806 95498 110190 121209 143247 161612 190996 202015 220380 238745 242418 286494 404030 477490 484836 525239 572988 606045 716235 808060 954980 1050478 1212090 1432470 1575717 2100956 2424180 2626195 2864940 3151434 5252390 6302868 7878585 10504780 15757170 31514340