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6311312 = 247371523
BaseRepresentation
bin11000000100110110010000
3102212122111022
4120010312100
53103430222
6343135012
7104434220
oct30046620
912778438
106311312
113620867
122144468
1313cc907
14ba4080
1584a042
hex604d90

6311312 has 40 divisors (see below), whose sum is σ = 14362176. Its totient is φ = 2630016.

The previous prime is 6311311. The next prime is 6311317. The reversal of 6311312 is 2131136.

It is a super-2 number, since 2×63113122 = 79665318322688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6311311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3383 + ... + 4905.

Almost surely, 26311312 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 6311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181088).

6311312 is an abundant number, since it is smaller than the sum of its proper divisors (8050864).

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

6311312 is a wasteful number, since it uses less digits than its factorization.

6311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1569 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 6311312 is about 2512.2324733193. The cubic root of 6311312 is about 184.8019502177.

Adding to 6311312 its reverse (2131136), we get a palindrome (8442448).

The spelling of 6311312 in words is "six million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 1523 2072 3046 4144 6092 10661 12184 21322 24368 42644 56351 85288 112702 170576 225404 394457 450808 788914 901616 1577828 3155656 6311312