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415234313 = 13374571889
BaseRepresentation
bin11000101111111…
…111100100001001
31001221100002101122
4120233333210021
51322244444223
6105111525025
713201301444
oct3057774411
91057302348
10415234313
111a343075a
12b7089775
13680467a0
143d20c65b
15266c25c8
hex18bff909

415234313 has 16 divisors (see below), whose sum is σ = 460509840. Its totient is φ = 371920896.

The previous prime is 415234307. The next prime is 415234319. The reversal of 415234313 is 313432514.

It is an interprime number because it is at equal distance from previous prime (415234307) and next prime (415234319).

It can be written as a sum of positive squares in 8 ways, for example, as 21132409 + 394101904 = 4597^2 + 19852^2 .

It is a cyclic number.

It is not a de Polignac number, because 415234313 - 210 = 415233289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415234319) 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 15 ways as a sum of consecutive naturals, for example, 218873 + ... + 220761.

It is an arithmetic number, because the mean of its divisors is an integer number (28781865).

Almost surely, 2415234313 is an apocalyptic number.

It is an amenable number.

415234313 is a deficient number, since it is larger than the sum of its proper divisors (45275527).

415234313 is a wasteful number, since it uses less digits than its factorization.

415234313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396.

The product of its digits is 4320, while the sum is 26.

The square root of 415234313 is about 20377.2989623257. The cubic root of 415234313 is about 746.0439476298.

Adding to 415234313 its reverse (313432514), we get a palindrome (728666827).

The spelling of 415234313 in words is "four hundred fifteen million, two hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 13 37 457 481 1889 5941 16909 24557 69893 219817 863273 908609 11222549 31941101 415234313