Search a number
-
+
3189694464 = 21334111923
BaseRepresentation
bin1011111000011110…
…1110000000000000
322020021222021020000
42332013232000000
523013030210324
61244302120000
7142020645525
oct27607560000
98207867200
103189694464
111397554730
12750280000
133baaa0b98
142238a514c
1513a0649c9
hexbe1ee000

3189694464 has 560 divisors, whose sum is σ = 11418295680. Its totient is φ = 875888640.

The previous prime is 3189694447. The next prime is 3189694471. The reversal of 3189694464 is 4644969813.

It is a happy number.

3189694464 is a `hidden beast` number, since 3 + 1 + 8 + 96 + 94 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3189694464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 138682357 + ... + 138682379.

Almost surely, 23189694464 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 3189694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709147840).

3189694464 is an abundant number, since it is smaller than the sum of its proper divisors (8228601216).

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

3189694464 is a wasteful number, since it uses less digits than its factorization.

3189694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3189694464 is about 56477.3801092083. The cubic root of 3189694464 is about 1472.0289849365.

The spelling of 3189694464 in words is "three billion, one hundred eighty-nine million, six hundred ninety-four thousand, four hundred sixty-four".