Search a number
-
+
307481328 = 243271122521
BaseRepresentation
bin10010010100111…
…100101011110000
3210102120200002100
4102110330223300
51112203400303
650302220400
710422356010
oct2224745360
9712520070
10307481328
11148624300
1286b84700
134b91a11b
142cb9dc40
151beda8a3
hex1253caf0

307481328 has 180 divisors, whose sum is σ = 1081413424. Its totient is φ = 79833600.

The previous prime is 307481311. The next prime is 307481371. The reversal of 307481328 is 823184703.

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

It is a junction number, because it is equal to n+sod(n) for n = 307481292 and 307481301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120708 + ... + 123228.

Almost surely, 2307481328 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 307481328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540706712).

307481328 is an abundant number, since it is smaller than the sum of its proper divisors (773932096).

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

307481328 is a wasteful number, since it uses less digits than its factorization.

307481328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 307481328 is about 17535.1455083783. The cubic root of 307481328 is about 674.9520426834.

The spelling of 307481328 in words is "three hundred seven million, four hundred eighty-one thousand, three hundred twenty-eight".