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2344472928 = 253271997631
BaseRepresentation
bin1000101110111101…
…1101000101100000
320001101112120020200
42023233131011200
514300141113203
61024350105200
7112045456020
oct21357350540
96041476220
102344472928
11aa3437236
125551ab200
132b49468b5
14183527a80
15dac589a3
hex8bbdd160

2344472928 has 288 divisors, whose sum is σ = 8116093440. Its totient is φ = 627056640.

The previous prime is 2344472899. The next prime is 2344472939. The reversal of 2344472928 is 8292744432.

It is a happy number.

2344472928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3715173 + ... + 3715803.

It is an arithmetic number, because the mean of its divisors is an integer number (28180880).

Almost surely, 22344472928 is an apocalyptic number.

2344472928 is a gapful number since it is divisible by the number (28) 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 2344472928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058046720).

2344472928 is an abundant number, since it is smaller than the sum of its proper divisors (5771620512).

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

2344472928 is a wasteful number, since it uses less digits than its factorization.

2344472928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2344472928 is about 48419.7576202112. The cubic root of 2344472928 is about 1328.4597708847.

The spelling of 2344472928 in words is "two billion, three hundred forty-four million, four hundred seventy-two thousand, nine hundred twenty-eight".