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13993344 = 27334049
BaseRepresentation
bin110101011000…
…010110000000
3222022221021000
4311120112000
512040241334
61215532000
7226640631
oct65302600
928287230
1013993344
117998452
12482a000
132b8c3b1
141c03888
151366299
hexd58580

13993344 has 64 divisors (see below), whose sum is σ = 41310000. Its totient is φ = 4663296.

The previous prime is 13993337. The next prime is 13993351. The reversal of 13993344 is 44339931.

It is an interprime number because it is at equal distance from previous prime (13993337) and next prime (13993351).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13993299 and 13993308.

It is a congruent number.

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, 1432 + ... + 5480.

Almost surely, 213993344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20655000).

13993344 is an abundant number, since it is smaller than the sum of its proper divisors (27316656).

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

13993344 is an equidigital number, since it uses as much as digits as its factorization.

13993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4054 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13993344 is about 3740.7678356188. The cubic root of 13993344 is about 240.9760253465.

The spelling of 13993344 in words is "thirteen million, nine hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4049 8098 12147 16196 24294 32392 36441 48588 64784 72882 97176 109323 129568 145764 194352 218646 259136 291528 388704 437292 518272 583056 777408 874584 1166112 1554816 1749168 2332224 3498336 4664448 6996672 13993344