Search a number
-
+
3999384936 = 23331943131173
BaseRepresentation
bin1110111001100001…
…1100010101101000
3101022201112210202000
43232120130111220
531142320304221
61500504411000
7201052132251
oct35630342550
911281483660
103999384936
111772604108
12937476a60
134b9767781
1429d233b28
151861a2e26
hexee61c568

3999384936 has 256 divisors, whose sum is σ = 12127104000. Its totient is φ = 1217099520.

The previous prime is 3999384899. The next prime is 3999384953. The reversal of 3999384936 is 6394839993.

3999384936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23117746 + ... + 23117918.

It is an arithmetic number, because the mean of its divisors is an integer number (47371500).

Almost surely, 23999384936 is an apocalyptic number.

3999384936 is a gapful number since it is divisible by the number (36) 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 3999384936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063552000).

3999384936 is an abundant number, since it is smaller than the sum of its proper divisors (8127719064).

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

3999384936 is a wasteful number, since it uses less digits than its factorization.

3999384936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The square root of 3999384936 is about 63240.6905085642. The cubic root of 3999384936 is about 1587.3196850275.

The spelling of 3999384936 in words is "three billion, nine hundred ninety-nine million, three hundred eighty-four thousand, nine hundred thirty-six".