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314010431 = 7414723279
BaseRepresentation
bin10010101101110…
…110101100111111
3210212212101022222
4102231312230333
51120341313211
651054155555
710532021210
oct2255665477
9725771288
10314010431
11151283759
12891b2bbb
1350094bb7
142d9bd407
151c87a1db
hex12b76b3f

314010431 has 16 divisors (see below), whose sum is σ = 375459840. Its totient is φ = 256989120.

The previous prime is 314010419. The next prime is 314010443. The reversal of 314010431 is 134010413.

It is an interprime number because it is at equal distance from previous prime (314010419) and next prime (314010443).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314010431 is a prime.

It is a super-2 number, since 2×3140104312 = 197205101553611522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314010461) 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 15 ways as a sum of consecutive naturals, for example, 1850 + ... + 25128.

It is an arithmetic number, because the mean of its divisors is an integer number (23466240).

Almost surely, 2314010431 is an apocalyptic number.

314010431 is a deficient number, since it is larger than the sum of its proper divisors (61449409).

314010431 is a wasteful number, since it uses less digits than its factorization.

314010431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23374.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 314010431 is about 17720.3394719176. The cubic root of 314010431 is about 679.6959648615.

Adding to 314010431 its reverse (134010413), we get a palindrome (448020844).

The spelling of 314010431 in words is "three hundred fourteen million, ten thousand, four hundred thirty-one".

Divisors: 1 7 41 47 287 329 1927 13489 23279 162953 954439 1094113 6681073 7658791 44858633 314010431