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31348812 = 223113147163
BaseRepresentation
bin111011110010…
…1100001001100
32011222200111010
41313211201030
531011130222
63035525220
7530313645
oct167454114
964880433
1031348812
1116771910
12a5b9810
136657bc1
1442406cc
152b4380c
hex1de584c

31348812 has 96 divisors (see below), whose sum is σ = 84639744. Its totient is φ = 8942400.

The previous prime is 31348789. The next prime is 31348813. The reversal of 31348812 is 21884313.

It is a super-2 number, since 2×313488122 = 1965496027622688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31348812.

It is not an unprimeable number, because it can be changed into a prime (31348813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192243 + ... + 192405.

It is an arithmetic number, because the mean of its divisors is an integer number (881664).

Almost surely, 231348812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31348812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319872).

31348812 is an abundant number, since it is smaller than the sum of its proper divisors (53290932).

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

31348812 is a wasteful number, since it uses less digits than its factorization.

31348812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 31348812 is about 5599.0009823182. Note that the first 3 decimals coincide. The cubic root of 31348812 is about 315.3119006908.

It can be divided in two parts, 31 and 348812, that added together give a palindrome (348843).

The spelling of 31348812 in words is "thirty-one million, three hundred forty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 47 62 66 93 94 124 132 141 163 186 188 282 326 341 372 489 517 564 652 682 978 1023 1034 1364 1457 1551 1793 1956 2046 2068 2914 3102 3586 4092 4371 5053 5379 5828 6204 7172 7661 8742 10106 10758 15159 15322 16027 17484 20212 21516 22983 30318 30644 32054 45966 48081 55583 60636 64108 84271 91932 96162 111166 166749 168542 192324 222332 237491 252813 333498 337084 474982 505626 666996 712473 949964 1011252 1424946 2612401 2849892 5224802 7837203 10449604 15674406 31348812