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314704 = 24131789
BaseRepresentation
bin1001100110101010000
3120222200201
41030311100
540032304
610424544
72450335
oct1146520
9528621
10314704
111a5495
12132154
13b0320
148298c
15633a4
hex4cd50

314704 has 40 divisors (see below), whose sum is σ = 703080. Its totient is φ = 135168.

The previous prime is 314693. The next prime is 314707. The reversal of 314704 is 407413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10000 + 304704 = 100^2 + 552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3492 + ... + 3580.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2314704 is an apocalyptic number.

314704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540).

314704 is an abundant number, since it is smaller than the sum of its proper divisors (388376).

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

314704 is a wasteful number, since it uses less digits than its factorization.

314704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 314704 is about 560.9848482802. The cubic root of 314704 is about 68.0196021919.

The spelling of 314704 in words is "three hundred fourteen thousand, seven hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 17 26 34 52 68 89 104 136 178 208 221 272 356 442 712 884 1157 1424 1513 1768 2314 3026 3536 4628 6052 9256 12104 18512 19669 24208 39338 78676 157352 314704