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1345500960 = 253519434773
BaseRepresentation
bin101000000110010…
…1011011100100000
310110202210112022220
41100030223130200
510223422012320
6341302431040
745225366216
oct12014533440
93422715286
101345500960
11630555871
12316732480
131859a961b
14ca9a6cb6
157d1cbe40
hex5032b720

1345500960 has 384 divisors, whose sum is σ = 4726149120. Its totient is φ = 320495616.

The previous prime is 1345500883. The next prime is 1345500971. The reversal of 1345500960 is 690055431.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18431484 + ... + 18431556.

It is an arithmetic number, because the mean of its divisors is an integer number (12307680).

Almost surely, 21345500960 is an apocalyptic number.

1345500960 is a gapful number since it is divisible by the number (10) 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 1345500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363074560).

1345500960 is an abundant number, since it is smaller than the sum of its proper divisors (3380648160).

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

1345500960 is a wasteful number, since it uses less digits than its factorization.

1345500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1345500960 is about 36681.0708676832. The cubic root of 1345500960 is about 1103.9803346634.

The spelling of 1345500960 in words is "one billion, three hundred forty-five million, five hundred thousand, nine hundred sixty".