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319042417 = 1724012753
BaseRepresentation
bin10011000001000…
…011001101110001
3211020100000220211
4103001003031301
51123133324132
651354104121
710622546551
oct2301031561
9736300824
10319042417
11154100321
128aa1b041
13511373c5
143052d161
151d021147
hex13043371

319042417 has 12 divisors (see below), whose sum is σ = 339882156. Its totient is φ = 299417600.

The previous prime is 319042411. The next prime is 319042429. The reversal of 319042417 is 714240913.

It can be written as a sum of positive squares in 6 ways, for example, as 194853681 + 124188736 = 13959^2 + 11144^2 .

It is not a de Polignac number, because 319042417 - 211 = 319040369 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319042411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114513 + ... + 117265.

It is an arithmetic number, because the mean of its divisors is an integer number (28323513).

Almost surely, 2319042417 is an apocalyptic number.

It is an amenable number.

319042417 is a deficient number, since it is larger than the sum of its proper divisors (20839739).

319042417 is a wasteful number, since it uses less digits than its factorization.

319042417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 319042417 is about 17861.7585080529. The cubic root of 319042417 is about 683.3074286961.

The spelling of 319042417 in words is "three hundred nineteen million, forty-two thousand, four hundred seventeen".

Divisors: 1 17 289 401 2753 6817 46801 115889 795617 1103953 18767201 319042417