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6134304 = 2531137157
BaseRepresentation
bin10111011001101000100000
3102112122200110
4113121220200
53032244204
6335251320
7103066161
oct27315040
912478613
106134304
11350a880
122079b40
13136a187
14b59768
15812889
hex5d9a20

6134304 has 96 divisors (see below), whose sum is σ = 18156096. Its totient is φ = 1797120.

The previous prime is 6134279. The next prime is 6134309. The reversal of 6134304 is 4034316.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6134309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38994 + ... + 39150.

It is an arithmetic number, because the mean of its divisors is an integer number (189126).

Almost surely, 26134304 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 6134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078048).

6134304 is an abundant number, since it is smaller than the sum of its proper divisors (12021792).

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

6134304 is a wasteful number, since it uses less digits than its factorization.

6134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6134304 is about 2476.7527127269. The cubic root of 6134304 is about 183.0578812995.

The spelling of 6134304 in words is "six million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 157 176 222 264 296 314 352 407 444 471 528 592 628 814 888 942 1056 1184 1221 1256 1628 1727 1776 1884 2442 2512 3256 3454 3552 3768 4884 5024 5181 5809 6512 6908 7536 9768 10362 11618 13024 13816 15072 17427 19536 20724 23236 27632 34854 39072 41448 46472 55264 63899 69708 82896 92944 127798 139416 165792 185888 191697 255596 278832 383394 511192 557664 766788 1022384 1533576 2044768 3067152 6134304