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414166002 = 23174319421
BaseRepresentation
bin11000101011111…
…010101111110010
31001212022210221120
4120223322233302
51322011303002
6105033003110
713156232025
oct3053725762
91055283846
10414166002
111a2871058
12b6853496
1367a61453
143d0111bc
1526560cbc
hex18afabf2

414166002 has 32 divisors (see below), whose sum is σ = 879185664. Its totient is φ = 129619200.

The previous prime is 414165977. The next prime is 414166007. The reversal of 414166002 is 200661414.

It is not an unprimeable number, because it can be changed into a prime (414166007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39252 + ... + 48672.

It is an arithmetic number, because the mean of its divisors is an integer number (27474552).

Almost surely, 2414166002 is an apocalyptic number.

414166002 is an abundant number, since it is smaller than the sum of its proper divisors (465019662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414166002 is a wasteful number, since it uses less digits than its factorization.

414166002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9874.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 414166002 is about 20351.0688171408. The cubic root of 414166002 is about 745.4035931600.

The spelling of 414166002 in words is "four hundred fourteen million, one hundred sixty-six thousand, two".

Divisors: 1 2 3 6 17 34 51 102 431 862 1293 2586 7327 9421 14654 18842 21981 28263 43962 56526 160157 320314 480471 960942 4060451 8120902 12181353 24362706 69027667 138055334 207083001 414166002