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1340329536 = 263272132281
BaseRepresentation
bin100111111100011…
…1100111001000000
310110102001210110200
41033320330321000
510221111021121
6340555525200
745133420200
oct11770747100
93412053420
101340329536
11628643467
12314a59800
131848b8800
14ca01c400
157ca09a26
hex4fe3ce40

1340329536 has 378 divisors, whose sum is σ = 4856485842. Its totient is φ = 352235520.

The previous prime is 1340329517. The next prime is 1340329537. The reversal of 1340329536 is 6359230431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11289600 + 1329039936 = 3360^2 + 36456^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1340329536.

It is not an unprimeable number, because it can be changed into a prime (1340329537) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4769716 + ... + 4769996.

Almost surely, 21340329536 is an apocalyptic number.

1340329536 is a gapful number since it is divisible by the number (16) 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 1340329536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428242921).

1340329536 is an abundant number, since it is smaller than the sum of its proper divisors (3516156306).

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

1340329536 is a wasteful number, since it uses less digits than its factorization.

1340329536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 1340329536 is about 36610.5112775006. The cubic root of 1340329536 is about 1102.5641383699.

Adding to 1340329536 its reverse (6359230431), we get a palindrome (7699559967).

The spelling of 1340329536 in words is "one billion, three hundred forty million, three hundred twenty-nine thousand, five hundred thirty-six".