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2304512928 = 2532175383107
BaseRepresentation
bin1000100101011100…
…0001001110100000
312221121100101102200
42021113001032200
514204423403203
61020401413200
7111052015404
oct21127011640
95847311380
102304512928
11a82923743
1254393a200
132a9595323
1417c0c5104
15d74b39a3
hex895c13a0

2304512928 has 288 divisors, whose sum is σ = 7221928896. Its totient is φ = 694247424.

The previous prime is 2304512923. The next prime is 2304512939. The reversal of 2304512928 is 8292154032.

It is a happy number.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2304512892 and 2304512901.

It is not an unprimeable number, because it can be changed into a prime (2304512923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21537451 + ... + 21537557.

It is an arithmetic number, because the mean of its divisors is an integer number (25076142).

Almost surely, 22304512928 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 2304512928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610964448).

2304512928 is an abundant number, since it is smaller than the sum of its proper divisors (4917415968).

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

2304512928 is a wasteful number, since it uses less digits than its factorization.

2304512928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2304512928 is about 48005.3427026618. The cubic root of 2304512928 is about 1320.8689044926.

The spelling of 2304512928 in words is "two billion, three hundred four million, five hundred twelve thousand, nine hundred twenty-eight".