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1345455840 = 253523472593
BaseRepresentation
bin101000000110010…
…0000011011100000
310110202201020102210
41100030200123200
510223414041330
6341301442120
745225120531
oct12014403340
93422636383
101345455840
11630524983
12316710340
13185991c21
14ca994688
157d1bd8b0
hex503206e0

1345455840 has 192 divisors, whose sum is σ = 4518291456. Its totient is φ = 335757312.

The previous prime is 1345455823. The next prime is 1345455847. The reversal of 1345455840 is 485545431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345455847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517584 + ... + 520176.

It is an arithmetic number, because the mean of its divisors is an integer number (23532768).

Almost surely, 21345455840 is an apocalyptic number.

1345455840 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 1345455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259145728).

1345455840 is an abundant number, since it is smaller than the sum of its proper divisors (3172835616).

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

1345455840 is a wasteful number, since it uses less digits than its factorization.

1345455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 1345455840 is about 36680.4558314097. The cubic root of 1345455840 is about 1103.9679942412.

The spelling of 1345455840 in words is "one billion, three hundred forty-five million, four hundred fifty-five thousand, eight hundred forty".