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14634984 = 2337136701
BaseRepresentation
bin110111110100…
…111111101000
31000112112102110
4313310333220
512221304414
61241402320
7235252410
oct67647750
930475373
1014634984
118296531
124a993a0
133055470
141d2d640
151441459
hexdf4fe8

14634984 has 64 divisors (see below), whose sum is σ = 45037440. Its totient is φ = 3859200.

The previous prime is 14634973. The next prime is 14635013. The reversal of 14634984 is 48943641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 5534.

It is an arithmetic number, because the mean of its divisors is an integer number (703710).

Almost surely, 214634984 is an apocalyptic number.

14634984 is a gapful number since it is divisible by the number (14) 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 14634984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22518720).

14634984 is an abundant number, since it is smaller than the sum of its proper divisors (30402456).

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

14634984 is a wasteful number, since it uses less digits than its factorization.

14634984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 6726 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 14634984 is about 3825.5697614865. The cubic root of 14634984 is about 244.6042980738.

The spelling of 14634984 in words is "fourteen million, six hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6701 13402 20103 26804 40206 46907 53608 80412 87113 93814 140721 160824 174226 187628 261339 281442 348452 375256 522678 562884 609791 696904 1045356 1125768 1219582 1829373 2090712 2439164 3658746 4878328 7317492 14634984