Search a number
-
+
3190410144 = 253215173363
BaseRepresentation
bin1011111000101001…
…1100101110100000
322020100022121221200
42332022130232200
523013221111034
61244325321200
7142030016205
oct27612345640
98210277850
103190410144
1113979a33a9
12750566200
133bac9186c
14223a0dcac
1513a156a99
hexbe29cba0

3190410144 has 72 divisors (see below), whose sum is σ = 9132937632. Its totient is φ = 1056412800.

The previous prime is 3190410133. The next prime is 3190410151. The reversal of 3190410144 is 4410140913.

3190410144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6807 + ... + 80169.

It is an arithmetic number, because the mean of its divisors is an integer number (126846356).

Almost surely, 23190410144 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 3190410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566468816).

3190410144 is an abundant number, since it is smaller than the sum of its proper divisors (5942527488).

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

3190410144 is a wasteful number, since it uses less digits than its factorization.

3190410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73530 (or 73519 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3190410144 is about 56483.7157417959. The cubic root of 3190410144 is about 1472.1390710209.

The spelling of 3190410144 in words is "three billion, one hundred ninety million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 43488 73363 146726 220089 293452 440178 586904 660267 880356 1173808 1320534 1760712 2347616 2641068 3521424 5282136 7042848 10564272 11077813 21128544 22155626 33233439 44311252 66466878 88622504 99700317 132933756 177245008 199400634 265867512 354490016 398801268 531735024 797602536 1063470048 1595205072 3190410144