Search a number
-
+
314304444 = 22329790007
BaseRepresentation
bin10010101110111…
…110011110111100
3210220102022122100
4102232332132330
51120430220234
651104345100
710534354326
oct2256763674
9726368570
10314304444
11151464643
1289315190
135016897c
142da58616
151c8d7399
hex12bbe7bc

314304444 has 36 divisors (see below), whose sum is σ = 802691344. Its totient is φ = 103686912.

The previous prime is 314304439. The next prime is 314304457. The reversal of 314304444 is 444403413.

314304444 is a `hidden beast` number, since 314 + 304 + 4 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41512 + ... + 48495.

Almost surely, 2314304444 is an apocalyptic number.

It is an amenable number.

314304444 is an abundant number, since it is smaller than the sum of its proper divisors (488386900).

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

314304444 is a wasteful number, since it uses less digits than its factorization.

314304444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90114 (or 90109 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 314304444 is about 17728.6334498742. The cubic root of 314304444 is about 679.9080354293.

Adding to 314304444 its reverse (444403413), we get a palindrome (758707857).

The spelling of 314304444 in words is "three hundred fourteen million, three hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 90007 180014 270021 360028 540042 810063 1080084 1620126 3240252 8730679 17461358 26192037 34922716 52384074 78576111 104768148 157152222 314304444