Search a number
-
+
3289939968 = 215372683
BaseRepresentation
bin1100010000011000…
…1000000000000000
322111021121021012110
43010012020000000
523214211034333
61302242455320
7144346012500
oct30406100000
98437537173
103289939968
1114390a3657
12779964540
1340579c353
14232d1ba00
15143c67063
hexc4188000

3289939968 has 192 divisors, whose sum is σ = 10220314320. Its totient is φ = 938606592.

The previous prime is 3289939951. The next prime is 3289939997. The reversal of 3289939968 is 8699399823.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3289939899 and 3289939908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4816555 + ... + 4817237.

Almost surely, 23289939968 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 3289939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110157160).

3289939968 is an abundant number, since it is smaller than the sum of its proper divisors (6930374352).

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

3289939968 is an frugal number, since it uses more digits than its factorization.

3289939968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 695 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 66.

The square root of 3289939968 is about 57357.9982914327. The cubic root of 3289939968 is about 1487.2911411485.

The spelling of 3289939968 in words is "three billion, two hundred eighty-nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".