Search a number
-
+
3201992376 = 2331147925321
BaseRepresentation
bin1011111011011010…
…1000011010111000
322021011010001210020
42332312220122320
523024202224001
61245421450440
7142230325512
oct27666503270
98234101706
103201992376
1113a34942a0
12754410a20
133c04b865b
14225386bb2
1513b193736
hexbeda86b8

3201992376 has 64 divisors (see below), whose sum is σ = 8751283200. Its totient is φ = 968236800.

The previous prime is 3201992351. The next prime is 3201992389. The reversal of 3201992376 is 6732991023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113796 + ... + 139116.

It is an arithmetic number, because the mean of its divisors is an integer number (136738800).

Almost surely, 23201992376 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 3201992376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375641600).

3201992376 is an abundant number, since it is smaller than the sum of its proper divisors (5549290824).

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

3201992376 is a wasteful number, since it uses less digits than its factorization.

3201992376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25820 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 3201992376 is about 56586.1500369127. The cubic root of 3201992376 is about 1473.9183683368.

The spelling of 3201992376 in words is "three billion, two hundred one million, nine hundred ninety-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 479 958 1437 1916 2874 3832 5269 5748 10538 11496 15807 21076 25321 31614 42152 50642 63228 75963 101284 126456 151926 202568 278531 303852 557062 607704 835593 1114124 1671186 2228248 3342372 6684744 12128759 24257518 36386277 48515036 72772554 97030072 133416349 145545108 266832698 291090216 400249047 533665396 800498094 1067330792 1600996188 3201992376