Search a number
-
+
3325172928 = 2637211223127
BaseRepresentation
bin1100011000110010…
…0001110011000000
322120201220021201220
43012030201303000
523302221013203
61305541555040
7145254334500
oct30614416300
98521807656
103325172928
111456a78700
12789715a80
1340cb8715c
1423788da00
15146dc6653
hexc6321cc0

3325172928 has 504 divisors, whose sum is σ = 11830726656. Its totient is φ = 819624960.

The previous prime is 3325172899. The next prime is 3325172947. The reversal of 3325172928 is 8292715233.

It is a super-2 number, since 2×33251729282 = 22113550002208186368, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3325172928.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26182401 + ... + 26182527.

It is an arithmetic number, because the mean of its divisors is an integer number (23473664).

Almost surely, 23325172928 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 3325172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915363328).

3325172928 is an abundant number, since it is smaller than the sum of its proper divisors (8505553728).

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

3325172928 is a wasteful number, since it uses less digits than its factorization.

3325172928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 3325172928 is about 57664.3124297862. The cubic root of 3325172928 is about 1492.5815834352.

The spelling of 3325172928 in words is "three billion, three hundred twenty-five million, one hundred seventy-two thousand, nine hundred twenty-eight".