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16311312 = 2432227499
BaseRepresentation
bin111110001110…
…010000010000
31010200200220200
4332032100100
513133430222
61341335200
7255433563
oct76162020
933620820
1016311312
119230a26
125567500
1334c1484
1422484da
151672eac
hexf8e410

16311312 has 60 divisors (see below), whose sum is σ = 45942000. Its totient is φ = 5402304.

The previous prime is 16311307. The next prime is 16311341. The reversal of 16311312 is 21311361.

16311312 is a `hidden beast` number, since 1 + 631 + 1 + 31 + 2 = 666.

It is a super-2 number, since 2×163113122 = 532117798322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32439 + ... + 32937.

It is an arithmetic number, because the mean of its divisors is an integer number (765700).

Almost surely, 216311312 is an apocalyptic number.

16311312 is a gapful number since it is divisible by the number (12) 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 16311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22971000).

16311312 is an abundant number, since it is smaller than the sum of its proper divisors (29630688).

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

16311312 is a wasteful number, since it uses less digits than its factorization.

16311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 731 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 16311312 is about 4038.7265319652. The cubic root of 16311312 is about 253.6080092473.

Adding to 16311312 its reverse (21311361), we get a palindrome (37622673).

The spelling of 16311312 in words is "sixteen million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 499 681 908 998 1362 1497 1816 1996 2043 2724 2994 3632 3992 4086 4491 5448 5988 7984 8172 8982 10896 11976 16344 17964 23952 32688 35928 71856 113273 226546 339819 453092 679638 906184 1019457 1359276 1812368 2038914 2718552 4077828 5437104 8155656 16311312