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314214440 = 23531325097
BaseRepresentation
bin10010101110101…
…000100000101000
3210220020202011212
4102232220200220
51120414330230
651102412252
710533531041
oct2256504050
9726222155
10314214440
11151402a61
1289291088
1350136a07
142da338c8
151c8ba895
hex12ba8828

314214440 has 32 divisors (see below), whose sum is σ = 709269480. Its totient is φ = 125279232.

The previous prime is 314214427. The next prime is 314214443. The reversal of 314214440 is 44412413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 114105124 + 200109316 = 10682^2 + 14146^2 .

It is not an unprimeable number, because it can be changed into a prime (314214443) 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, 29 + ... + 25068.

Almost surely, 2314214440 is an apocalyptic number.

It is an amenable number.

314214440 is an abundant number, since it is smaller than the sum of its proper divisors (395055040).

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

314214440 is a wasteful number, since it uses less digits than its factorization.

314214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25421 (or 25417 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 314214440 is about 17726.0948886098. The cubic root of 314214440 is about 679.8431299042.

Adding to 314214440 its reverse (44412413), we get a palindrome (358626853).

The spelling of 314214440 in words is "three hundred fourteen million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 12520 25097 50194 100388 125485 200776 250970 501940 1003880 7855361 15710722 31421444 39276805 62842888 78553610 157107220 314214440