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14322976 = 2517113233
BaseRepresentation
bin110110101000…
…110100100000
3222221200102121
4312220310200
512131313401
61230554024
7232512643
oct66506440
928850377
1014322976
1180a3078
124968914
132c76445
141c8ba5a
1513cdca1
hexda8d20

14322976 has 48 divisors (see below), whose sum is σ = 30250584. Its totient is φ = 6651904.

The previous prime is 14322967. The next prime is 14322989. The reversal of 14322976 is 67922341.

It can be written as a sum of positive squares in 4 ways, for example, as 7952400 + 6370576 = 2820^2 + 2524^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 61356 + ... + 61588.

Almost surely, 214322976 is an apocalyptic number.

14322976 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 14322976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15125292).

14322976 is an abundant number, since it is smaller than the sum of its proper divisors (15927608).

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

14322976 is a wasteful number, since it uses less digits than its factorization.

14322976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 14322976 is about 3784.5707814758. The cubic root of 14322976 is about 242.8535304785.

The spelling of 14322976 in words is "fourteen million, three hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 233 272 452 466 544 904 932 1808 1864 1921 3616 3728 3842 3961 7456 7684 7922 15368 15844 26329 30736 31688 52658 61472 63376 105316 126752 210632 421264 447593 842528 895186 1790372 3580744 7161488 14322976