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419420304 = 24322912641
BaseRepresentation
bin11000111111111…
…101100010010000
31002020012202111100
4120333331202100
51324332422204
6105341344400
713252004502
oct3077754220
91066182440
10419420304
111a582a756
12b8568100
1368b80bc4
143d9bbd72
1526c4ca39
hex18ffd890

419420304 has 30 divisors (see below), whose sum is σ = 1173794726. Its totient is φ = 139806720.

The previous prime is 419420299. The next prime is 419420317. The reversal of 419420304 is 403024914.

It can be written as a sum of positive squares in only one way, i.e., 418120704 + 1299600 = 20448^2 + 1140^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1456177 + ... + 1456464.

Almost surely, 2419420304 is an apocalyptic number.

It is an amenable number.

419420304 is an abundant number, since it is smaller than the sum of its proper divisors (754374422).

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

419420304 is a wasteful number, since it uses less digits than its factorization.

419420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912655 (or 2912646 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 419420304 is about 20479.7535141417. The cubic root of 419420304 is about 748.5425348953.

The spelling of 419420304 in words is "four hundred nineteen million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2912641 5825282 8737923 11650564 17475846 23301128 26213769 34951692 46602256 52427538 69903384 104855076 139806768 209710152 419420304