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2442926304 = 253471310357
BaseRepresentation
bin1001000110011100…
…0001100011100000
320022020210111220000
42101213001203200
520000342120204
61042224220000
7114352350060
oct22147014340
96266714800
102442926304
111043a71765
1258216a600
132cc168430
141926353a0
15e4705039
hex919c18e0

2442926304 has 240 divisors, whose sum is σ = 8843411808. Its totient is φ = 644226048.

The previous prime is 2442926303. The next prime is 2442926327. The reversal of 2442926304 is 4036292442.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442926303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230694 + ... + 241050.

Almost surely, 22442926304 is an apocalyptic number.

2442926304 is a gapful number since it is divisible by the number (24) 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 2442926304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421705904).

2442926304 is an abundant number, since it is smaller than the sum of its proper divisors (6400485504).

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

2442926304 is a wasteful number, since it uses less digits than its factorization.

2442926304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2442926304 is about 49425.9679116150. The cubic root of 2442926304 is about 1346.8010777624.

The spelling of 2442926304 in words is "two billion, four hundred forty-two million, nine hundred twenty-six thousand, three hundred four".