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2406304256 = 297364381
BaseRepresentation
bin1000111101101101…
…0100101000000000
320012200212220212212
42033123110220000
514412003214011
61034435241252
7113426151206
oct21733245000
96180786785
102406304256
111025329004
12571a49228
132c46b5295
1418b821076
15e13be08b
hex8f6d4a00

2406304256 has 40 divisors (see below), whose sum is σ = 4873846164. Its totient is φ = 1186652160.

The previous prime is 2406304217. The next prime is 2406304279. The reversal of 2406304256 is 6524036042.

It can be written as a sum of positive squares in 2 ways, for example, as 2342560000 + 63744256 = 48400^2 + 7984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5186 + ... + 69566.

Almost surely, 22406304256 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 2406304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436923082).

2406304256 is an abundant number, since it is smaller than the sum of its proper divisors (2467541908).

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

2406304256 is an frugal number, since it uses more digits than its factorization.

2406304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64472 (or 64456 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2406304256 is about 49054.0952011145. The cubic root of 2406304256 is about 1340.0371742861.

The spelling of 2406304256 in words is "two billion, four hundred six million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1168 2336 4672 9344 18688 37376 64381 128762 257524 515048 1030096 2060192 4120384 4699813 8240768 9399626 16481536 18799252 32963072 37598504 75197008 150394016 300788032 601576064 1203152128 2406304256