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16334112 = 253229743
BaseRepresentation
bin111110010011…
…110100100000
31010201212012010
4332103310200
513140142422
61342032520
7255560214
oct76236440
933655163
1016334112
119247073
125578740
1334cb972
142252944
151679b0c
hexf93d20

16334112 has 48 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 5413632.

The previous prime is 16334083. The next prime is 16334137. The reversal of 16334112 is 21143361.

16334112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 21613 + ... + 22355.

It is an arithmetic number, because the mean of its divisors is an integer number (898380).

Almost surely, 216334112 is an apocalyptic number.

16334112 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 16334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

16334112 is an abundant number, since it is smaller than the sum of its proper divisors (26788128).

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

16334112 is a wasteful number, since it uses less digits than its factorization.

16334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 977 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 16334112 is about 4041.5482181956. The cubic root of 16334112 is about 253.7261189073.

Adding to 16334112 its reverse (21143361), we get a palindrome (37477473).

Subtracting 16334112 from its reverse (21143361), we obtain a square (4809249 = 21932).

The spelling of 16334112 in words is "sixteen million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 743 916 1374 1486 1832 2229 2748 2972 3664 4458 5496 5944 7328 8916 10992 11888 17832 21984 23776 35664 71328 170147 340294 510441 680588 1020882 1361176 2041764 2722352 4083528 5444704 8167056 16334112