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13398336 = 263273323
BaseRepresentation
bin110011000111…
…000101000000
3221012201001200
4303013011000
511412221321
61155101200
7221612130
oct63070500
927181050
1013398336
117621406
1245a1800
132a11613
141acaac0
151299d26
hexcc7140

13398336 has 84 divisors (see below), whose sum is σ = 43903392. Its totient is φ = 3826944.

The previous prime is 13398323. The next prime is 13398379. The reversal of 13398336 is 63389331.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 13398336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371 + ... + 5693.

Almost surely, 213398336 is an apocalyptic number.

13398336 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 13398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951696).

13398336 is an abundant number, since it is smaller than the sum of its proper divisors (30505056).

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

13398336 is a wasteful number, since it uses less digits than its factorization.

13398336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3335 counting only the distinct ones).

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

The square root of 13398336 is about 3660.3737514085. The cubic root of 13398336 is about 237.5109416935.

The spelling of 13398336 in words is "thirteen million, three hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3323 4032 6646 9969 13292 19938 23261 26584 29907 39876 46522 53168 59814 69783 79752 93044 106336 119628 139566 159504 186088 209349 212672 239256 279132 319008 372176 418698 478512 558264 638016 744352 837396 957024 1116528 1488704 1674792 1914048 2233056 3349584 4466112 6699168 13398336