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314405331 = 31923210427
BaseRepresentation
bin10010101111010…
…111000111010011
3210220121110000220
4102233113013103
51120441432311
651110444123
710535254422
oct2257270723
9726543026
10314405331
11151523419
1289363643
13501a2876
142da832b9
151c907206
hex12bd71d3

314405331 has 24 divisors (see below), whose sum is σ = 461334720. Its totient is φ = 189920016.

The previous prime is 314405323. The next prime is 314405353. The reversal of 314405331 is 133504413.

It is a happy number.

It is not a de Polignac number, because 314405331 - 23 = 314405323 is a prime.

It is a super-2 number, since 2×3144053312 = 197701424322439122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314405431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24940 + ... + 35366.

It is an arithmetic number, because the mean of its divisors is an integer number (19222280).

Almost surely, 2314405331 is an apocalyptic number.

314405331 is a deficient number, since it is larger than the sum of its proper divisors (146929389).

314405331 is a wasteful number, since it uses less digits than its factorization.

314405331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495 (or 10472 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 314405331 is about 17731.4785339520. The cubic root of 314405331 is about 679.9807743988.

Adding to 314405331 its reverse (133504413), we get a palindrome (447909744).

The spelling of 314405331 in words is "three hundred fourteen million, four hundred five thousand, three hundred thirty-one".

Divisors: 1 3 19 23 57 69 437 529 1311 1587 10051 10427 30153 31281 198113 239821 594339 719463 4556599 5515883 13669797 16547649 104801777 314405331