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31340010 = 235131729163
BaseRepresentation
bin111011110001…
…1010111101010
32011222020102010
41313203113222
531010340020
63035420350
7530246202
oct167432752
964866363
1031340010
1116766239
12a5b46b6
136653bb0
14423b402
152b40de0
hex1de35ea

31340010 has 128 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 6967296.

The previous prime is 31340009. The next prime is 31340051. The reversal of 31340010 is 1004313.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192189 + ... + 192351.

It is an arithmetic number, because the mean of its divisors is an integer number (697410).

Almost surely, 231340010 is an apocalyptic number.

31340010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31340010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

31340010 is an abundant number, since it is smaller than the sum of its proper divisors (57928470).

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

31340010 is a wasteful number, since it uses less digits than its factorization.

31340010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232.

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

The square root of 31340010 is about 5598.2148940533. The cubic root of 31340010 is about 315.2823872370.

Adding to 31340010 its reverse (1004313), we get a palindrome (32344323).

It can be divided in two parts, 3 and 1340010, that multiplied together give a triangular number (4020030 = T2835).

The spelling of 31340010 in words is "thirty-one million, three hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 29 30 34 39 51 58 65 78 85 87 102 130 145 163 170 174 195 221 255 290 326 377 390 435 442 489 493 510 663 754 815 870 978 986 1105 1131 1326 1479 1630 1885 2119 2210 2262 2445 2465 2771 2958 3315 3770 4238 4727 4890 4930 5542 5655 6357 6409 6630 7395 8313 9454 10595 11310 12714 12818 13855 14181 14790 16626 19227 21190 23635 27710 28362 31785 32045 36023 38454 41565 47270 61451 63570 64090 70905 72046 80359 83130 96135 108069 122902 141810 160718 180115 184353 192270 216138 241077 307255 360230 368706 401795 482154 540345 614510 803590 921765 1044667 1080690 1205385 1843530 2089334 2410770 3134001 5223335 6268002 10446670 15670005 31340010