Search a number
-
+
307042848 = 2532717331
BaseRepresentation
bin10010010011010…
…001101000100000
3210101202101121100
4102103101220200
51112100332343
650244554400
710415551440
oct2223215040
9711671540
10307042848
11148354922
12869b2a00
134b7c5678
142cac8120
151be509d3
hex124d1a20

307042848 has 288 divisors, whose sum is σ = 1094446080. Its totient is φ = 79902720.

The previous prime is 307042777. The next prime is 307042867. The reversal of 307042848 is 848240703.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3070428483 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 9904593 + ... + 9904623.

It is an arithmetic number, because the mean of its divisors is an integer number (3800160).

Almost surely, 2307042848 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 307042848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547223040).

307042848 is an abundant number, since it is smaller than the sum of its proper divisors (787403232).

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

307042848 is a wasteful number, since it uses less digits than its factorization.

307042848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 307042848 is about 17522.6381575378. The cubic root of 307042848 is about 674.6310543432.

The spelling of 307042848 in words is "three hundred seven million, forty-two thousand, eight hundred forty-eight".