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312440013 = 3247517307
BaseRepresentation
bin10010100111110…
…111010011001101
3210202220121010100
4102213313103031
51114441040023
651000401313
710512460554
oct2247672315
9722817110
10312440013
11150400896
1288776239
134c965162
142d6d0d9b
151c669c43
hex129f74cd

312440013 has 12 divisors (see below), whose sum is σ = 451459008. Its totient is φ = 208221000.

The previous prime is 312439969. The next prime is 312440017. The reversal of 312440013 is 310044213.

It is not a de Polignac number, because 312440013 - 26 = 312439949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312440017) 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 11 ways as a sum of consecutive naturals, for example, 39106 + ... + 46412.

It is an arithmetic number, because the mean of its divisors is an integer number (37621584).

Almost surely, 2312440013 is an apocalyptic number.

It is an amenable number.

312440013 is a deficient number, since it is larger than the sum of its proper divisors (139018995).

312440013 is a wasteful number, since it uses less digits than its factorization.

312440013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12061 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312440013 is about 17675.9727596531. The cubic root of 312440013 is about 678.5609800982.

Adding to 312440013 its reverse (310044213), we get a palindrome (622484226).

The spelling of 312440013 in words is "three hundred twelve million, four hundred forty thousand, thirteen".

Divisors: 1 3 9 4751 7307 14253 21921 42759 65763 34715557 104146671 312440013