Search a number
-
+
3378831360 = 2133531887
BaseRepresentation
bin1100100101100100…
…1110000000000000
322201110212102021020
43021121032000000
523404440100420
61315140025440
7146505410202
oct31131160000
98643772236
103378831360
111484298013
127a3692280
1341b0237c8
14240a5a772
1514b975340
hexc964e000

3378831360 has 224 divisors, whose sum is σ = 11172943872. Its totient is φ = 870973440.

The previous prime is 3378831359. The next prime is 3378831371. The reversal of 3378831360 is 631388733.

It is a super-2 number, since 2×33788313602 = 22833002718638899200, which contains 22 as substring.

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, 3808837 + ... + 3809723.

Almost surely, 23378831360 is an apocalyptic number.

3378831360 is a gapful number since it is divisible by the number (30) 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 3378831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586471936).

3378831360 is an abundant number, since it is smaller than the sum of its proper divisors (7794112512).

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

3378831360 is an equidigital number, since it uses as much as digits as its factorization.

3378831360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3378831360 is about 58127.7159365479. The cubic root of 3378831360 is about 1500.5673942377.

The spelling of 3378831360 in words is "three billion, three hundred seventy-eight million, eight hundred thirty-one thousand, three hundred sixty".