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1340597700 = 22325213149769
BaseRepresentation
bin100111111100111…
…1110010111000100
310110102120102022200
41033321332113010
510221143111300
6341005354500
745135615051
oct11771762704
93412512280
101340597700
11628806992
12314b68a30
131849808a0
14ca08c028
157ca5e200
hex4fe7e5c4

1340597700 has 216 divisors, whose sum is σ = 4561557000. Its totient is φ = 327352320.

The previous prime is 1340597659. The next prime is 1340597701. The reversal of 1340597700 is 77950431.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 952586496 + 388011204 = 30864^2 + 19698^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1340597701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1742916 + ... + 1743684.

Almost surely, 21340597700 is an apocalyptic number.

1340597700 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 1340597700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280778500).

1340597700 is an abundant number, since it is smaller than the sum of its proper divisors (3220959300).

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

1340597700 is a wasteful number, since it uses less digits than its factorization.

1340597700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 1340597700 is about 36614.1734851410. The cubic root of 1340597700 is about 1102.6376646398.

The spelling of 1340597700 in words is "one billion, three hundred forty million, five hundred ninety-seven thousand, seven hundred".