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276434464 = 25411091933
BaseRepresentation
bin10000011110100…
…000111000100000
3201021011022210111
4100132200320200
51031231400324
643232541104
76564440245
oct2036407040
9637138714
10276434464
11132049339
12786b1794
13453697b7
14289db5cc
1519406794
hex107a0e20

276434464 has 48 divisors (see below), whose sum is σ = 562910040. Its totient is φ = 133539840.

The previous prime is 276434449. The next prime is 276434489. The reversal of 276434464 is 464434672.

It can be written as a sum of positive squares in 4 ways, for example, as 217267600 + 59166864 = 14740^2 + 7692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142042 + ... + 143974.

Almost surely, 2276434464 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 276434464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281455020).

276434464 is an abundant number, since it is smaller than the sum of its proper divisors (286475576).

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

276434464 is a wasteful number, since it uses less digits than its factorization.

276434464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2085 counting only the distinct ones).

The product of its digits is 387072, while the sum is 40.

The square root of 276434464 is about 16626.3184138883. The cubic root of 276434464 is about 651.4244610537.

The spelling of 276434464 in words is "two hundred seventy-six million, four hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 109 164 218 328 436 656 872 1312 1744 1933 3488 3866 4469 7732 8938 15464 17876 30928 35752 61856 71504 79253 143008 158506 210697 317012 421394 634024 842788 1268048 1685576 2536096 3371152 6742304 8638577 17277154 34554308 69108616 138217232 276434464