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254130304 = 272338521
BaseRepresentation
bin11110010010110…
…11100010000000
3122201012011020111
433021123202000
51010024132204
641114521104
76204033451
oct1711334200
9581164214
10254130304
111204a494a
1271136194
134085a67c
1425a73128
151749cd04
hexf25b880

254130304 has 32 divisors (see below), whose sum is σ = 508507740. Its totient is φ = 126504960.

The previous prime is 254130257. The next prime is 254130323. The reversal of 254130304 is 403031452.

It can be written as a sum of positive squares in 2 ways, for example, as 247118400 + 7011904 = 15720^2 + 2648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2541303042 = 129164422822264832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25564 + ... + 34084.

Almost surely, 2254130304 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 254130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254253870).

254130304 is an abundant number, since it is smaller than the sum of its proper divisors (254377436).

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

254130304 is an equidigital number, since it uses as much as digits as its factorization.

254130304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 254130304 is about 15941.4649264112. The cubic root of 254130304 is about 633.4108310214.

Adding to 254130304 its reverse (403031452), we get a palindrome (657161756).

The spelling of 254130304 in words is "two hundred fifty-four million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1864 3728 7456 8521 14912 17042 29824 34084 68168 136336 272672 545344 1090688 1985393 3970786 7941572 15883144 31766288 63532576 127065152 254130304