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417249339 = 31324319139
BaseRepresentation
bin11000110111101…
…011100000111011
31002002010110111020
4120313223200323
51323303434324
6105223033523
713224363243
oct3067534073
91062113436
10417249339
111a4587671
12b789b8a3
13685a0a00
143d5b4b23
152696e679
hex18deb83b

417249339 has 24 divisors (see below), whose sum is σ = 616461120. Its totient is φ = 250784352.

The previous prime is 417249331. The next prime is 417249341. The reversal of 417249339 is 933942714.

It is not a de Polignac number, because 417249339 - 23 = 417249331 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 417249339.

It is not an unprimeable number, because it can be changed into a prime (417249331) 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, 12232 + ... + 31370.

It is an arithmetic number, because the mean of its divisors is an integer number (25685880).

Almost surely, 2417249339 is an apocalyptic number.

417249339 is a deficient number, since it is larger than the sum of its proper divisors (199211781).

417249339 is a wasteful number, since it uses less digits than its factorization.

417249339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19211 (or 19198 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 417249339 is about 20426.6820360038. The cubic root of 417249339 is about 747.2487876702.

The spelling of 417249339 in words is "four hundred seventeen million, two hundred forty-nine thousand, three hundred thirty-nine".

Divisors: 1 3 13 39 43 129 169 507 559 1677 7267 19139 21801 57417 248807 746421 822977 2468931 3234491 9703473 10698701 32096103 139083113 417249339