Search a number
-
+
4234723584 = 28371325979
BaseRepresentation
bin1111110001101000…
…1100000100000000
3101221010101020200020
43330122030010000
532133042123314
61540112453440
7206640361620
oct37432140400
911833336606
104234723584
111883433563
129a224a280
13526445a00
142c25b4880
1519bb8cda9
hexfc68c100

4234723584 has 432 divisors, whose sum is σ = 14363596800. Its totient is φ = 1084022784.

The previous prime is 4234723573. The next prime is 4234723607. The reversal of 4234723584 is 4853274324.

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

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, 53604057 + ... + 53604135.

Almost surely, 24234723584 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 4234723584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7181798400).

4234723584 is an abundant number, since it is smaller than the sum of its proper divisors (10128873216).

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

4234723584 is a wasteful number, since it uses less digits than its factorization.

4234723584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 4234723584 is about 65074.7538143634. The cubic root of 4234723584 is about 1617.8627997644.

The spelling of 4234723584 in words is "four billion, two hundred thirty-four million, seven hundred twenty-three thousand, five hundred eighty-four".