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422353440 = 253751771
BaseRepresentation
bin11001001011001…
…001101000100000
31002102201210000000
4121023021220200
51331110302230
6105524300000
713315642065
oct3113115040
91072653000
10422353440
111a7453433
12b9541600
1369669ca2
1440142c6c
152712bb60
hex192c9a20

422353440 has 384 divisors, whose sum is σ = 1606832640. Its totient is φ = 104509440.

The previous prime is 422353429. The next prime is 422353487. The reversal of 422353440 is 44353224.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5948605 + ... + 5948675.

It is an arithmetic number, because the mean of its divisors is an integer number (4184460).

Almost surely, 2422353440 is an apocalyptic number.

422353440 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 422353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803416320).

422353440 is an abundant number, since it is smaller than the sum of its proper divisors (1184479200).

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

422353440 is an equidigital number, since it uses as much as digits as its factorization.

422353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 422353440 is about 20551.2393786847. The cubic root of 422353440 is about 750.2834128894.

The spelling of 422353440 in words is "four hundred twenty-two million, three hundred fifty-three thousand, four hundred forty".