Search a number
-
+
3379301856 = 253574181
BaseRepresentation
bin1100100101101100…
…0000110111100000
322201111202022200000
43021123000313200
523410100124411
61315154100000
7146512410000
oct31133006740
98644668600
103379301856
111484589557
127a387a600
1341b1599c8
14240b40000
1514ba19956
hexc96c0de0

3379301856 has 360 divisors, whose sum is σ = 11690320824. Its totient is φ = 960180480.

The previous prime is 3379301839. The next prime is 3379301941. The reversal of 3379301856 is 6581039733.

3379301856 is a `hidden beast` number, since 337 + 9 + 301 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×33793018562 = 22839362067930089472, 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 59 ways as a sum of consecutive naturals, for example, 18670086 + ... + 18670266.

Almost surely, 23379301856 is an apocalyptic number.

3379301856 is a gapful number since it is divisible by the number (36) 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 3379301856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845160412).

3379301856 is an abundant number, since it is smaller than the sum of its proper divisors (8311018968).

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

3379301856 is an frugal number, since it uses more digits than its factorization.

3379301856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3379301856 is about 58131.7628839862. The cubic root of 3379301856 is about 1500.6370414139.

The spelling of 3379301856 in words is "three billion, three hundred seventy-nine million, three hundred one thousand, eight hundred fifty-six".