Search a number
-
+
3206740992 = 210371311471
BaseRepresentation
bin1011111100100010…
…1111110000000000
322021111001022122220
42333020233300000
523031411202432
61250111331040
7142315564050
oct27710576000
98244038586
103206740992
1113a6137a74
12755b20a80
133c148bba0
14225c61560
1513b7d072c
hexbf22fc00

3206740992 has 176 divisors, whose sum is σ = 10520466432. Its totient is φ = 845660160.

The previous prime is 3206740973. The next prime is 3206740997. The reversal of 3206740992 is 2990476023.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3206740997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273817 + ... + 285287.

Almost surely, 23206740992 is an apocalyptic number.

3206740992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3206740992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260233216).

3206740992 is an abundant number, since it is smaller than the sum of its proper divisors (7313725440).

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

3206740992 is a wasteful number, since it uses less digits than its factorization.

3206740992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11514 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3206740992 is about 56628.0936638344. The cubic root of 3206740992 is about 1474.6466248360.

The spelling of 3206740992 in words is "three billion, two hundred six million, seven hundred forty thousand, nine hundred ninety-two".