Search a number
-
+
307311928 = 23721131931
BaseRepresentation
bin10010010100010…
…011010100111000
3210102021001201021
4102110103110320
51112132440203
650254432224
710421052100
oct2224232470
9712231637
10307311928
11148519000
1286b02674
134b88aca1
142cb58200
151bea55bd
hex12513538

307311928 has 192 divisors, whose sum is σ = 801100800. Its totient is φ = 109771200.

The previous prime is 307311913. The next prime is 307311971. The reversal of 307311928 is 829113703.

It is a junction number, because it is equal to n+sod(n) for n = 307311893 and 307311902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9913273 + ... + 9913303.

It is an arithmetic number, because the mean of its divisors is an integer number (4172400).

Almost surely, 2307311928 is an apocalyptic number.

307311928 is a gapful number since it is divisible by the number (38) 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 307311928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400550400).

307311928 is an abundant number, since it is smaller than the sum of its proper divisors (493788872).

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

307311928 is a wasteful number, since it uses less digits than its factorization.

307311928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 307311928 is about 17530.3145436698. The cubic root of 307311928 is about 674.8280699744.

The spelling of 307311928 in words is "three hundred seven million, three hundred eleven thousand, nine hundred twenty-eight".