Search a number
-
+
3330116944 = 2471117247199
BaseRepresentation
bin1100011001111101…
…1000110101010000
322121002012110122121
43012133120311100
523310002220234
61310235544024
7145344345520
oct30637306520
98532173577
103330116944
111459845170
1278b2bb014
13410bc85cb
142383b9680
151475514b4
hexc67d8d50

3330116944 has 240 divisors, whose sum is σ = 8770867200. Its totient is φ = 1189140480.

The previous prime is 3330116917. The next prime is 3330116971. The reversal of 3330116944 is 4496110333.

3330116944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3330116917) and next prime (3330116971).

It is a super-2 number, since 2×33301169442 = 22179357721431798272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16734157 + ... + 16734355.

It is an arithmetic number, because the mean of its divisors is an integer number (36545280).

Almost surely, 23330116944 is an apocalyptic number.

3330116944 is a gapful number since it is divisible by the number (34) 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 3330116944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385433600).

3330116944 is an abundant number, since it is smaller than the sum of its proper divisors (5440750256).

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

3330116944 is a wasteful number, since it uses less digits than its factorization.

3330116944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 3330116944 is about 57707.1654476288. The cubic root of 3330116944 is about 1493.3209628192.

The spelling of 3330116944 in words is "three billion, three hundred thirty million, one hundred sixteen thousand, nine hundred forty-four".