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414490380 = 22358383231
BaseRepresentation
bin11000101101001…
…001111100001100
31001212221021220120
4120231021330030
51322102143010
6105043544540
713162052523
oct3055117414
91055837816
10414490380
111a2a72837
12b698b150
1367b45ca5
143d0974ba
15265c6e70
hex18b49f0c

414490380 has 48 divisors (see below), whose sum is σ = 1174569984. Its totient is φ = 109197760.

The previous prime is 414490343. The next prime is 414490381. The reversal of 414490380 is 83094414.

It is a happy number.

It is a super-2 number, since 2×4144903802 = 343604550225088800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414490381) 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, 36636 + ... + 46595.

It is an arithmetic number, because the mean of its divisors is an integer number (24470208).

Almost surely, 2414490380 is an apocalyptic number.

It is an amenable number.

414490380 is an abundant number, since it is smaller than the sum of its proper divisors (760079604).

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

414490380 is a wasteful number, since it uses less digits than its factorization.

414490380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83326 (or 83324 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 414490380 is about 20359.0368141521. The cubic root of 414490380 is about 745.5981443210.

The spelling of 414490380 in words is "four hundred fourteen million, four hundred ninety thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 83231 166462 249693 332924 416155 499386 832310 998772 1248465 1664620 2496930 4993860 6908173 13816346 20724519 27632692 34540865 41449038 69081730 82898076 103622595 138163460 207245190 414490380