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314636644 = 22741812
BaseRepresentation
bin10010110000001…
…111100101100100
3210221001012100001
4102300033211210
51121021333034
651115431044
710540240000
oct2260174544
9727035301
10314636644
11151671193
1289455484
1350253c3a
142db03700
151c950a14
hex12c0f964

314636644 has 45 divisors (see below), whose sum is σ = 645913401. Its totient is φ = 134099280.

The previous prime is 314636617. The next prime is 314636653. The reversal of 314636644 is 446636413.

The square root of 314636644 is 17738.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3467044 + 311169600 = 1862^2 + 17640^2 .

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 14 ways as a sum of consecutive naturals, for example, 1738234 + ... + 1738414.

Almost surely, 2314636644 is an apocalyptic number.

314636644 is the 17738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314636644

314636644 is an abundant number, since it is smaller than the sum of its proper divisors (331276757).

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

314636644 is an frugal number, since it uses more digits than its factorization.

314636644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 190 counting only the distinct ones).

The product of its digits is 124416, while the sum is 37.

The cubic root of 314636644 is about 680.1474910751.

The spelling of 314636644 in words is "three hundred fourteen million, six hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 181 196 343 362 686 724 1267 1372 2401 2534 4802 5068 8869 9604 17738 32761 35476 62083 65522 124166 131044 229327 248332 434581 458654 869162 917308 1605289 1738324 3210578 6421156 11237023 22474046 44948092 78659161 157318322 314636644