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314261269 = 7174121571
BaseRepresentation
bin10010101110110…
…011111100010101
3210220100010102021
4102232303330111
51120422330034
651103413141
710534114420
oct2256637425
9726303367
10314261269
11151435163
12892b41b1
135015211a
142da469b7
151c8c96b4
hex12bb3f15

314261269 has 24 divisors (see below), whose sum is σ = 390032064. Its totient is φ = 247180800.

The previous prime is 314261263. The next prime is 314261281. The reversal of 314261269 is 962162413.

It is a happy number.

It is not a de Polignac number, because 314261269 - 23 = 314261261 is a prime.

It is a super-2 number, since 2×3142612692 = 197520290386980722, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314261261) 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, 199254 + ... + 200824.

It is an arithmetic number, because the mean of its divisors is an integer number (16251336).

Almost surely, 2314261269 is an apocalyptic number.

It is an amenable number.

314261269 is a deficient number, since it is larger than the sum of its proper divisors (75770795).

314261269 is a wasteful number, since it uses less digits than its factorization.

314261269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1636 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 314261269 is about 17727.4157451107. The cubic root of 314261269 is about 679.8769017369.

The spelling of 314261269 in words is "three hundred fourteen million, two hundred sixty-one thousand, two hundred sixty-nine".

Divisors: 1 7 17 41 119 287 697 1571 1681 4879 10997 11767 26707 28577 64411 186949 200039 450877 1094987 2640851 7664909 18485957 44894467 314261269