Search a number
-
+
5306074368 = 283721941181
BaseRepresentation
bin1001111000100010…
…00100010100000000
3111200210022111122220
410330101010110000
541331323334433
62234303331040
7245326613400
oct47421042400
914623274586
105306074368
112283160231
121040bb0a80
136673a549a
143849b6800
15210c652b3
hex13c444500

5306074368 has 432 divisors, whose sum is σ = 17811743040. Its totient is φ = 1393459200.

The previous prime is 5306074363. The next prime is 5306074369. The reversal of 5306074368 is 8634706035.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306074363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29315238 + ... + 29315418.

Almost surely, 25306074368 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 5306074368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905871520).

5306074368 is an abundant number, since it is smaller than the sum of its proper divisors (12505668672).

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

5306074368 is a wasteful number, since it uses less digits than its factorization.

5306074368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5306074368 is about 72842.8058767645. The cubic root of 5306074368 is about 1744.1792313623.

The spelling of 5306074368 in words is "five billion, three hundred six million, seventy-four thousand, three hundred sixty-eight".