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305131024 = 241123972
BaseRepresentation
bin10010001011111…
…110111000010000
3210021011021002001
4102023332320100
51111103143044
650140003344
710363366552
oct2213767020
9707137061
10305131024
11147269500
1286230554
134b2a6403
142c74b4d2
151bbc42d4
hex122fee10

305131024 has 45 divisors (see below), whose sum is σ = 651462861. Its totient is φ = 138346560.

The previous prime is 305131019. The next prime is 305131031. The reversal of 305131024 is 420131503.

The square root of 305131024 is 17468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 204490000 + 100641024 = 14300^2 + 10032^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 305130992 and 305131010.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 768394 + ... + 768790.

Almost surely, 2305131024 is an apocalyptic number.

305131024 is the 17468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305131024

305131024 is an abundant number, since it is smaller than the sum of its proper divisors (346331837).

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

305131024 is an equidigital number, since it uses as much as digits as its factorization.

305131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The cubic root of 305131024 is about 673.2279254225.

Adding to 305131024 its reverse (420131503), we get a palindrome (725262527).

The spelling of 305131024 in words is "three hundred five million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 397 484 794 968 1588 1936 3176 4367 6352 8734 17468 34936 48037 69872 96074 157609 192148 315218 384296 630436 768592 1260872 1733699 2521744 3467398 6934796 13869592 19070689 27739184 38141378 76282756 152565512 305131024