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801306320 = 24510016329
BaseRepresentation
bin101111110000101…
…111011011010000
32001211210120121212
4233300233123100
53120113300240
6211302435252
725566664013
oct5760573320
92054716555
10801306320
11381353331
121a4432b28
13ca01c669
14785c937a
154a534165
hex2fc2f6d0

801306320 has 20 divisors (see below), whose sum is σ = 1863037380. Its totient is φ = 320522496.

The previous prime is 801306313. The next prime is 801306329. The reversal of 801306320 is 23603108.

It can be written as a sum of positive squares in 2 ways, for example, as 579653776 + 221652544 = 24076^2 + 14888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801306329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5008085 + ... + 5008244.

It is an arithmetic number, because the mean of its divisors is an integer number (93151869).

Almost surely, 2801306320 is an apocalyptic number.

801306320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

801306320 is an abundant number, since it is smaller than the sum of its proper divisors (1061731060).

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

801306320 is a wasteful number, since it uses less digits than its factorization.

801306320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10016342 (or 10016336 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 801306320 is about 28307.3545213960. The cubic root of 801306320 is about 928.8227753065.

Adding to 801306320 its reverse (23603108), we get a palindrome (824909428).

The spelling of 801306320 in words is "eight hundred one million, three hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10016329 20032658 40065316 50081645 80130632 100163290 160261264 200326580 400653160 801306320