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315414429 = 31131308323
BaseRepresentation
bin10010110011001…
…101011110011101
3210222111201020220
4102303031132131
51121221230204
651144231553
710546656411
oct2263153635
9728451226
10315414429
11152052590
128976b5b9
1350466c75
142dc66d41
151ca561d9
hex12ccd79d

315414429 has 16 divisors (see below), whose sum is σ = 473585664. Its totient is φ = 184993200.

The previous prime is 315414397. The next prime is 315414431. The reversal of 315414429 is 924414513.

It is not a de Polignac number, because 315414429 - 25 = 315414397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 315414429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315414439) 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, 153139 + ... + 155184.

It is an arithmetic number, because the mean of its divisors is an integer number (29599104).

Almost surely, 2315414429 is an apocalyptic number.

It is an amenable number.

315414429 is a deficient number, since it is larger than the sum of its proper divisors (158171235).

315414429 is a wasteful number, since it uses less digits than its factorization.

315414429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308368.

The product of its digits is 17280, while the sum is 33.

The square root of 315414429 is about 17759.9107261270. The cubic root of 315414429 is about 680.7074737507.

The spelling of 315414429 in words is "three hundred fifteen million, four hundred fourteen thousand, four hundred twenty-nine".

Divisors: 1 3 11 31 33 93 341 1023 308323 924969 3391553 9558013 10174659 28674039 105138143 315414429