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420322304 = 2103113241
BaseRepresentation
bin11001000011011…
…001110000000000
31002021220120210202
4121003121300000
51330100303204
6105412544332
713262452313
oct3103316000
91067816722
10420322304
111a6296406
12b89220a8
136910862c
143db7497a
1526d79e1e
hex190d9c00

420322304 has 44 divisors (see below), whose sum is σ = 867403968. Its totient is φ = 203366400.

The previous prime is 420322303. The next prime is 420322319. The reversal of 420322304 is 403223024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420322303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25124 + ... + 38364.

Almost surely, 2420322304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433701984).

420322304 is an abundant number, since it is smaller than the sum of its proper divisors (447081664).

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

420322304 is a wasteful number, since it uses less digits than its factorization.

420322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 13274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 420322304 is about 20501.7634363486. The cubic root of 420322304 is about 749.0787527198.

Adding to 420322304 its reverse (403223024), we get a palindrome (823545328).

The spelling of 420322304 in words is "four hundred twenty million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 3968 7936 13241 15872 26482 31744 52964 105928 211856 410471 423712 820942 847424 1641884 1694848 3283768 3389696 6567536 6779392 13135072 13558784 26270144 52540288 105080576 210161152 420322304