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31311840 = 253579319
BaseRepresentation
bin111011101110…
…0011111100000
32011220210202210
41313130133200
531003434330
63035042120
7530101110
oct167343740
964823683
1031311840
111674705a
12a5a0340
136644121
144231040
152b378b0
hex1ddc7e0

31311840 has 96 divisors (see below), whose sum is σ = 112734720. Its totient is φ = 7156224.

The previous prime is 31311827. The next prime is 31311859. The reversal of 31311840 is 4811313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1300 + ... + 8019.

It is an arithmetic number, because the mean of its divisors is an integer number (1174320).

Almost surely, 231311840 is an apocalyptic number.

31311840 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 31311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56367360).

31311840 is an abundant number, since it is smaller than the sum of its proper divisors (81422880).

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

31311840 is a wasteful number, since it uses less digits than its factorization.

31311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 31311840 is about 5595.6983478383. The cubic root of 31311840 is about 315.1878949546.

The spelling of 31311840 in words is "thirty-one million, three hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 9319 18638 27957 37276 46595 55914 65233 74552 93190 111828 130466 139785 149104 186380 195699 223656 260932 279570 298208 326165 372760 391398 447312 521864 559140 652330 745520 782796 894624 978495 1043728 1118280 1304660 1491040 1565592 1956990 2087456 2236560 2609320 3131184 3913980 4473120 5218640 6262368 7827960 10437280 15655920 31311840