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422346880 = 275659917
BaseRepresentation
bin11001001011001…
…000000010000000
31002102201110000001
4121023020002000
51331110100010
6105524205344
713315614004
oct3113100200
91072643001
10422346880
111a744950a
12b9539854
1369666cc7
1440140704
1527129c3a
hex192c8080

422346880 has 32 divisors (see below), whose sum is σ = 1009674540. Its totient is φ = 168938496.

The previous prime is 422346871. The next prime is 422346889. The reversal of 422346880 is 88643224.

It is an interprime number because it is at equal distance from previous prime (422346871) and next prime (422346889).

It can be written as a sum of positive squares in 2 ways, for example, as 356152384 + 66194496 = 18872^2 + 8136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (422346889) 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, 329319 + ... + 330598.

Almost surely, 2422346880 is an apocalyptic number.

422346880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422346880 is an abundant number, since it is smaller than the sum of its proper divisors (587327660).

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

422346880 is an equidigital number, since it uses as much as digits as its factorization.

422346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659936 (or 659924 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 422346880 is about 20551.0797769850. The cubic root of 422346880 is about 750.2795283981.

The spelling of 422346880 in words is "four hundred twenty-two million, three hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 659917 1319834 2639668 3299585 5279336 6599170 10558672 13198340 21117344 26396680 42234688 52793360 84469376 105586720 211173440 422346880