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6242304 = 2143127
BaseRepresentation
bin10111110100000000000000
3102202010211110
4113310000000
53044223204
6341443320
7104026065
oct27640000
912663743
106242304
113583a32
122110540
1313a7393
14b86c6c
15834889
hex5f4000

6242304 has 60 divisors (see below), whose sum is σ = 16776704. Its totient is φ = 2064384.

The previous prime is 6242263. The next prime is 6242363. The reversal of 6242304 is 4032426.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49089 + ... + 49215.

Almost surely, 26242304 is an apocalyptic number.

6242304 is a gapful number since it is divisible by the number (64) 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 6242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388352).

6242304 is an abundant number, since it is smaller than the sum of its proper divisors (10534400).

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

6242304 is an equidigital number, since it uses as much as digits as its factorization.

6242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6242304 is about 2498.4603258807. The cubic root of 6242304 is about 184.1259377275.

The spelling of 6242304 in words is "six million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 2048 3048 3072 4064 4096 6096 6144 8128 8192 12192 12288 16256 16384 24384 24576 32512 48768 49152 65024 97536 130048 195072 260096 390144 520192 780288 1040384 1560576 2080768 3121152 6242304