Search a number
-
+
314433457 = 1322964157
BaseRepresentation
bin10010101111011…
…101111110110001
3210220122212121121
4102233131332301
51120443332312
651111222241
710535432422
oct2257357661
9726585547
10314433457
11151542568
1289377981
13501b2600
142da8d649
151c910707
hex12bddfb1

314433457 has 12 divisors (see below), whose sum is σ = 352227420. Its totient is φ = 280233408.

The previous prime is 314433443. The next prime is 314433463. The reversal of 314433457 is 754334413.

It can be written as a sum of positive squares in 6 ways, for example, as 4532641 + 309900816 = 2129^2 + 17604^2 .

It is a de Polignac number, because none of the positive numbers 2k-314433457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314433487) by changing a digit.

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, 27178 + ... + 36979.

It is an arithmetic number, because the mean of its divisors is an integer number (29352285).

Almost surely, 2314433457 is an apocalyptic number.

It is an amenable number.

314433457 is a deficient number, since it is larger than the sum of its proper divisors (37793963).

314433457 is a wasteful number, since it uses less digits than its factorization.

314433457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64212 (or 64199 counting only the distinct ones).

The product of its digits is 60480, while the sum is 34.

The square root of 314433457 is about 17732.2716254856. The cubic root of 314433457 is about 680.0010503156.

The spelling of 314433457 in words is "three hundred fourteen million, four hundred thirty-three thousand, four hundred fifty-seven".

Divisors: 1 13 29 169 377 4901 64157 834041 1860553 10842533 24187189 314433457