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420364704 = 25333113229
BaseRepresentation
bin11001000011100…
…100000110100000
31002021222201222010
4121003210012200
51330103132304
6105413512520
713263020034
oct3103440640
91067881863
10420364704
111a6315251
12b8942740
1369121a16
143db861c4
1526d87789
hex190e41a0

420364704 has 48 divisors (see below), whose sum is σ = 1106874720. Its totient is φ = 139687680.

The previous prime is 420364699. The next prime is 420364709. The reversal of 420364704 is 407463024.

It is an interprime number because it is at equal distance from previous prime (420364699) and next prime (420364709).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (420364709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25162 + ... + 38390.

It is an arithmetic number, because the mean of its divisors is an integer number (23059890).

Almost surely, 2420364704 is an apocalyptic number.

It is an amenable number.

420364704 is an abundant number, since it is smaller than the sum of its proper divisors (686510016).

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

420364704 is a wasteful number, since it uses less digits than its factorization.

420364704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13573 (or 13565 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 420364704 is about 20502.7974676628. The cubic root of 420364704 is about 749.1039396386.

The spelling of 420364704 in words is "four hundred twenty million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 662 993 1324 1986 2648 3972 5296 7944 10592 13229 15888 26458 31776 39687 52916 79374 105832 158748 211664 317496 423328 634992 1269984 4378799 8757598 13136397 17515196 26272794 35030392 52545588 70060784 105091176 140121568 210182352 420364704