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802313640 = 233351789491
BaseRepresentation
bin101111110100100…
…101010110101000
32001220200202102000
4233310211112220
53120343014030
6211340211000
725611360552
oct5764452650
92056622360
10802313640
11381981127
121a4839a60
13ca2b2ccb
14787ac4d2
154a682860
hex2fd255a8

802313640 has 256 divisors, whose sum is σ = 2869344000. Its totient is φ = 198696960.

The previous prime is 802313609. The next prime is 802313647. The reversal of 802313640 is 46313208.

It is a happy number.

802313640 is a `hidden beast` number, since 8 + 0 + 2 + 3 + 13 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (802313647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633795 + ... + 1634285.

It is an arithmetic number, because the mean of its divisors is an integer number (11208375).

Almost surely, 2802313640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434672000).

802313640 is an abundant number, since it is smaller than the sum of its proper divisors (2067030360).

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

802313640 is a wasteful number, since it uses less digits than its factorization.

802313640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 802313640 is about 28325.1414824357. The cubic root of 802313640 is about 929.2118191933.

Adding to 802313640 its reverse (46313208), we get a palindrome (848626848).

The spelling of 802313640 in words is "eight hundred two million, three hundred thirteen thousand, six hundred forty".