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13034384 = 2411312389
BaseRepresentation
bin110001101110…
…001110010000
3220112012210222
4301232032100
511314100014
61143212212
7215535056
oct61561620
926465728
1013034384
1173a2a20
124447068
132914a6c
141a341d6
15122708e
hexc6e390

13034384 has 40 divisors (see below), whose sum is σ = 28450560. Its totient is φ = 5731200.

The previous prime is 13034363. The next prime is 13034387. The reversal of 13034384 is 48343031.

It is not an unprimeable number, because it can be changed into a prime (13034387) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4262 + ... + 6650.

It is an arithmetic number, because the mean of its divisors is an integer number (711264).

Almost surely, 213034384 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 13034384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225280).

13034384 is an abundant number, since it is smaller than the sum of its proper divisors (15416176).

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

13034384 is a wasteful number, since it uses less digits than its factorization.

13034384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 13034384 is about 3610.3163296310. The cubic root of 13034384 is about 235.3405895856.

The spelling of 13034384 in words is "thirteen million, thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1364 2389 2728 4778 5456 9556 19112 26279 38224 52558 74059 105116 148118 210232 296236 420464 592472 814649 1184944 1629298 3258596 6517192 13034384