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14319616 = 2151923
BaseRepresentation
bin110110101000…
…000000000000
3222221111211011
4312220000000
512131211431
61230530304
7232500103
oct66500000
928844734
1014319616
1180a05a3
124966994
132c74a5c
141c8a73a
1513cccb1
hexda8000

14319616 has 64 divisors (see below), whose sum is σ = 31456800. Its totient is φ = 6488064.

The previous prime is 14319601. The next prime is 14319623. The reversal of 14319616 is 61691341.

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (3888) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 622581 + ... + 622603.

Almost surely, 214319616 is an apocalyptic number.

14319616 is a gapful number since it is divisible by the number (16) 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 14319616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728400).

14319616 is an abundant number, since it is smaller than the sum of its proper divisors (17137184).

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

14319616 is an frugal number, since it uses more digits than its factorization.

14319616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 14319616 is about 3784.1268477682. The cubic root of 14319616 is about 242.8345388090.

The spelling of 14319616 in words is "fourteen million, three hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 512 608 736 874 1024 1216 1472 1748 2048 2432 2944 3496 4096 4864 5888 6992 8192 9728 11776 13984 16384 19456 23552 27968 32768 38912 47104 55936 77824 94208 111872 155648 188416 223744 311296 376832 447488 622592 753664 894976 1789952 3579904 7159808 14319616