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318812112 = 24383037
BaseRepresentation
bin10011000000001…
…010111111010000
3211012220100000000
4103000022333100
51123103441422
651345130000
710620600243
oct2300127720
9735810000
10318812112
11153a63293
128a929900
1351086628
14304ad25a
151cec7cac
hex1300afd0

318812112 has 90 divisors (see below), whose sum is σ = 926805698. Its totient is φ = 106235712.

The previous prime is 318812111. The next prime is 318812113. The reversal of 318812112 is 211218813.

It is an interprime number because it is at equal distance from previous prime (318812111) and next prime (318812113).

It can be written as a sum of positive squares in only one way, i.e., 306110016 + 12702096 = 17496^2 + 3564^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318812111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103458 + ... + 106494.

Almost surely, 2318812112 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 318812112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463402849).

318812112 is an abundant number, since it is smaller than the sum of its proper divisors (607993586).

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

318812112 is an frugal number, since it uses more digits than its factorization.

318812112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3042 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 318812112 is about 17855.3104705575. The cubic root of 318812112 is about 683.1429709412.

The spelling of 318812112 in words is "three hundred eighteen million, eight hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3037 3888 4374 5832 6074 6561 8748 9111 11664 12148 13122 17496 18222 24296 26244 27333 34992 36444 48592 52488 54666 72888 81999 104976 109332 145776 163998 218664 245997 327996 437328 491994 655992 737991 983988 1311984 1475982 1967976 2213973 2951964 3935952 4427946 5903928 6641919 8855892 11807856 13283838 17711784 19925757 26567676 35423568 39851514 53135352 79703028 106270704 159406056 318812112