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422773344 = 25377863
BaseRepresentation
bin11001001100110…
…000001001100000
31002110112010000000
4121030300021200
51331212221334
6105541300000
713322341230
oct3114601140
91073463000
10422773344
111a770a964
12b9704600
1369786156
1440211cc0
15271b1299
hex19330260

422773344 has 192 divisors, whose sum is σ = 1428295680. Its totient is φ = 120652416.

The previous prime is 422773331. The next prime is 422773361. The reversal of 422773344 is 443377224.

422773344 is a `hidden beast` number, since 42 + 277 + 3 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422773299 and 422773308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489457 + ... + 490319.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2422773344 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 422773344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714147840).

422773344 is an abundant number, since it is smaller than the sum of its proper divisors (1005522336).

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

422773344 is an frugal number, since it uses more digits than its factorization.

422773344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 875 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 422773344 is about 20561.4528669547. The cubic root of 422773344 is about 750.5319745815.

The spelling of 422773344 in words is "four hundred twenty-two million, seven hundred seventy-three thousand, three hundred forty-four".