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412090319 = 17296171193
BaseRepresentation
bin11000100011111…
…111111111001111
31001201102100122102
4120203333333033
51320443342234
6104520305315
713132465334
oct3043777717
91051370572
10412090319
111a1683613
12b601223b
13674b5734
143ca3098b
15262a0c7e
hex188fffcf

412090319 has 32 divisors (see below), whose sum is σ = 467648640. Its totient is φ = 361267200.

The previous prime is 412090291. The next prime is 412090339. The reversal of 412090319 is 913090214.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412090319 is a prime.

It is a super-2 number, since 2×4120903192 = 339636862027043522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412090291 and 412090300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412090339) 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, 2135087 + ... + 2135279.

It is an arithmetic number, because the mean of its divisors is an integer number (14614020).

Almost surely, 2412090319 is an apocalyptic number.

412090319 is a deficient number, since it is larger than the sum of its proper divisors (55558321).

412090319 is a wasteful number, since it uses less digits than its factorization.

412090319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 412090319 is about 20300.0078571413. The cubic root of 412090319 is about 744.1562563227.

The spelling of 412090319 in words is "four hundred twelve million, ninety thousand, three hundred nineteen".

Divisors: 1 17 29 61 71 193 493 1037 1207 1769 2059 3281 4331 5597 11773 13703 30073 35003 73627 95149 125599 200141 232951 341417 397387 835883 2135183 5804089 6755579 14210011 24240607 412090319