Search a number
-
+
3045732144 = 2437133183271
BaseRepresentation
bin1011010110001010…
…0010111100110000
321212021002020001020
42311202202330300
522214201412034
61222120335440
7135322203360
oct26542427460
97767066036
103045732144
111323266704
12710014580
13397007190
1420c70c9a0
1512c5c9249
hexb58a2f30

3045732144 has 320 divisors, whose sum is σ = 10154016768. Its totient is φ = 765158400.

The previous prime is 3045732143. The next prime is 3045732149. The reversal of 3045732144 is 4412375403.

It is not an unprimeable number, because it can be changed into a prime (3045732143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11238729 + ... + 11238999.

Almost surely, 23045732144 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 3045732144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077008384).

3045732144 is an abundant number, since it is smaller than the sum of its proper divisors (7108284624).

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

3045732144 is a wasteful number, since it uses less digits than its factorization.

3045732144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3045732144 is about 55188.1522067916. The cubic root of 3045732144 is about 1449.5412173606.

The spelling of 3045732144 in words is "three billion, forty-five million, seven hundred thirty-two thousand, one hundred forty-four".