Search a number
-
+
3399155712 = 2163317113
BaseRepresentation
bin1100101010011011…
…0000000000000000
322202220010000001000
43022212300000000
523430140440322
61321143412000
7150143226651
oct31246600000
98686100030
103399155712
111494809aa7
127aa454000
134222bb754
1424362b528
1514d63c3ac
hexca9b0000

3399155712 has 272 divisors, whose sum is σ = 10758307680. Its totient is φ = 1056964608.

The previous prime is 3399155699. The next prime is 3399155807. The reversal of 3399155712 is 2175519933.

3399155712 is a `hidden beast` number, since 3 + 3 + 9 + 91 + 557 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (272).

Its product of digits (255150) is a multiple of the sum of its prime divisors (135).

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, 30080968 + ... + 30081080.

Almost surely, 23399155712 is an apocalyptic number.

3399155712 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 3399155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379153840).

3399155712 is an abundant number, since it is smaller than the sum of its proper divisors (7359151968).

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

3399155712 is an equidigital number, since it uses as much as digits as its factorization.

3399155712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 3399155712 is about 58302.2787890834. The cubic root of 3399155712 is about 1503.5701200871.

The spelling of 3399155712 in words is "three billion, three hundred ninety-nine million, one hundred fifty-five thousand, seven hundred twelve".