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31318380 = 2233559983
BaseRepresentation
bin111011101111…
…0000101101100
32011221010202000
41313132011230
531004142010
63035132300
7530126142
oct167360554
964833660
1031318380
1116750a65
12a5a4090
1366470b2
144233592
152b397c0
hex1dde16c

31318380 has 96 divisors (see below), whose sum is σ = 99187200. Its totient is φ = 8201664.

The previous prime is 31318379. The next prime is 31318381. The reversal of 31318380 is 8381313.

It is an interprime number because it is at equal distance from previous prime (31318379) and next prime (31318381).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (31318381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31369 + ... + 32351.

It is an arithmetic number, because the mean of its divisors is an integer number (1033200).

Almost surely, 231318380 is an apocalyptic number.

31318380 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 31318380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593600).

31318380 is an abundant number, since it is smaller than the sum of its proper divisors (67868820).

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

31318380 is a wasteful number, since it uses less digits than its factorization.

31318380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31318380 is about 5596.2826947895. The cubic root of 31318380 is about 315.2098375098.

Adding to 31318380 its reverse (8381313), we get a palindrome (39699693).

It can be divided in two parts, 3131 and 8380, that added together give a palindrome (11511).

The spelling of 31318380 in words is "thirty-one million, three hundred eighteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 90 108 118 135 177 180 236 270 295 354 531 540 590 708 885 983 1062 1180 1593 1770 1966 2124 2655 2949 3186 3540 3932 4915 5310 5898 6372 7965 8847 9830 10620 11796 14745 15930 17694 19660 26541 29490 31860 35388 44235 53082 57997 58980 88470 106164 115994 132705 173991 176940 231988 265410 289985 347982 521973 530820 579970 695964 869955 1043946 1159940 1565919 1739910 2087892 2609865 3131838 3479820 5219730 6263676 7829595 10439460 15659190 31318380