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390131319 = 31494192083
BaseRepresentation
bin10111010000001…
…110111001110111
31000012002201120010
4113100032321313
51244333200234
6102413511303
712445030044
oct2720167167
91005081503
10390131319
11190245486
12aa7a2533
1362a97746
1439b561cb
15243b46e9
hex1740ee77

390131319 has 16 divisors (see below), whose sum is σ = 525168000. Its totient is φ = 257601696.

The previous prime is 390131279. The next prime is 390131321. The reversal of 390131319 is 913131093.

It is a happy number.

It is not a de Polignac number, because 390131319 - 215 = 390098551 is a prime.

It is a super-2 number, since 2×3901313192 = 304404892129359522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390132319) 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, 186252 + ... + 188334.

It is an arithmetic number, because the mean of its divisors is an integer number (32823000).

Almost surely, 2390131319 is an apocalyptic number.

390131319 is a deficient number, since it is larger than the sum of its proper divisors (135036681).

390131319 is a wasteful number, since it uses less digits than its factorization.

390131319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654.

The product of its (nonzero) digits is 2187, while the sum is 30.

The square root of 390131319 is about 19751.7421763246. The cubic root of 390131319 is about 730.6963512356.

The spelling of 390131319 in words is "three hundred ninety million, one hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 149 419 447 1257 2083 6249 62431 187293 310367 872777 931101 2618331 130043773 390131319