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13348384 = 25728513
BaseRepresentation
bin110010111010…
…111000100000
3221010011112121
4302322320200
511404122014
61154034024
7221313400
oct62727040
927104477
1013348384
117597925
124578914
1329c496a
141ab6800
15128a124
hexcbae20

13348384 has 36 divisors (see below), whose sum is σ = 30573774. Its totient is φ = 5720064.

The previous prime is 13348373. The next prime is 13348397. The reversal of 13348384 is 48384331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 5664400 = 2772^2 + 2380^2 .

It is a super-2 number, since 2×133483842 = 356358710822912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2689 + ... + 5824.

Almost surely, 213348384 is an apocalyptic number.

13348384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13348384 is an abundant number, since it is smaller than the sum of its proper divisors (17225390).

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

13348384 is an equidigital number, since it uses as much as digits as its factorization.

13348384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8537 (or 8522 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 13348384 is about 3653.5440328536. The cubic root of 13348384 is about 237.2154094413.

The spelling of 13348384 in words is "thirteen million, three hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 8513 17026 34052 59591 68104 119182 136208 238364 272416 417137 476728 834274 953456 1668548 1906912 3337096 6674192 13348384