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274438304 = 2572774423
BaseRepresentation
bin10000010110111…
…001100010100000
3201010101220120122
4100112321202200
51030224011204
643122055412
76541454450
oct2026714240
9633356518
10274438304
11130a05618
1277aaa568
1344b1b03a
142863bd60
15191600be
hex105b98a0

274438304 has 48 divisors (see below), whose sum is σ = 619855488. Its totient is φ = 117165312.

The previous prime is 274438303. The next prime is 274438321. The reversal of 274438304 is 403834472.

274438304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (274438303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59837 + ... + 64259.

It is an arithmetic number, because the mean of its divisors is an integer number (12913656).

Almost surely, 2274438304 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 274438304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309927744).

274438304 is an abundant number, since it is smaller than the sum of its proper divisors (345417184).

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

274438304 is a wasteful number, since it uses less digits than its factorization.

274438304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 274438304 is about 16566.1795233542. The cubic root of 274438304 is about 649.8526719348.

The spelling of 274438304 in words is "two hundred seventy-four million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 277 554 1108 1939 2216 3878 4423 4432 7756 8846 8864 15512 17692 30961 31024 35384 61922 62048 70768 123844 141536 247688 495376 990752 1225171 2450342 4900684 8576197 9801368 17152394 19602736 34304788 39205472 68609576 137219152 274438304