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422703360 = 28375151
BaseRepresentation
bin11001001100011…
…111000100000000
31002110101120000000
4121030133010000
51331203001420
6105540000000
713321630212
oct3114370400
91073346000
10422703360
111a7672322
12b9690000
1369760341
14401d45b2
152719a690
hex1931f100

422703360 has 288 divisors, whose sum is σ = 1528584960. Its totient is φ = 111974400.

The previous prime is 422703353. The next prime is 422703367. The reversal of 422703360 is 63307224.

It is an interprime number because it is at equal distance from previous prime (422703353) and next prime (422703367).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (422703367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799285 + ... + 2799435.

Almost surely, 2422703360 is an apocalyptic number.

422703360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764292480).

422703360 is an abundant number, since it is smaller than the sum of its proper divisors (1105881600).

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

422703360 is an frugal number, since it uses more digits than its factorization.

422703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 422703360 is about 20559.7509712545. The cubic root of 422703360 is about 750.4905590658.

The spelling of 422703360 in words is "four hundred twenty-two million, seven hundred three thousand, three hundred sixty".