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319072413 = 31129595651
BaseRepresentation
bin10011000001001…
…010100010011101
3211020101120001210
4103001022202131
51123140304123
651354455033
710623033162
oct2301124235
9736346053
10319072413
11154120910
128aa34479
1351147c5a
143053a069
151d029e93
hex1304a89d

319072413 has 32 divisors (see below), whose sum is σ = 488332800. Its totient is φ = 183512000.

The previous prime is 319072381. The next prime is 319072417. The reversal of 319072413 is 314270913.

It is not a de Polignac number, because 319072413 - 25 = 319072381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319072417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53638 + ... + 59288.

It is an arithmetic number, because the mean of its divisors is an integer number (15260400).

Almost surely, 2319072413 is an apocalyptic number.

319072413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

319072413 is a deficient number, since it is larger than the sum of its proper divisors (169260387).

319072413 is a wasteful number, since it uses less digits than its factorization.

319072413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 319072413 is about 17862.5981592824. The cubic root of 319072413 is about 683.3288426171.

The spelling of 319072413 in words is "three hundred nineteen million, seventy-two thousand, four hundred thirteen".

Divisors: 1 3 11 29 33 59 87 177 319 649 957 1711 1947 5133 5651 16953 18821 56463 62161 163879 186483 333409 491637 1000227 1802669 3667499 5408007 9668861 11002497 29006583 106357471 319072413