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1342344960 = 28345112107
BaseRepresentation
bin101000000000010…
…1000111100000000
310110112212012010000
41100000220330000
510222120014320
6341111040000
745156513105
oct12000507400
93415765100
101342344960
1162979a700
12315670000
13185142c78
14ca3c4aac
157cca6c90
hex50028f00

1342344960 has 540 divisors, whose sum is σ = 5328842904. Its totient is φ = 322375680.

The previous prime is 1342344943. The next prime is 1342344979. The reversal of 1342344960 is 694432431.

It is a happy number.

1342344960 is a `hidden beast` number, since 134 + 2 + 34 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545227 + ... + 12545333.

Almost surely, 21342344960 is an apocalyptic number.

1342344960 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 1342344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664421452).

1342344960 is an abundant number, since it is smaller than the sum of its proper divisors (3986497944).

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

1342344960 is a wasteful number, since it uses less digits than its factorization.

1342344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1342344960 is about 36638.0261477062. The cubic root of 1342344960 is about 1103.1164954096.

The spelling of 1342344960 in words is "one billion, three hundred forty-two million, three hundred forty-four thousand, nine hundred sixty".