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3344342976 = 2632133712071
BaseRepresentation
bin1100011101010110…
…1001111111000000
322122001222020002200
43013111221333000
523322122433401
61311504513200
7145606306032
oct30725517700
98561866080
103344342976
111466881417
1279401b800
13413b39890
1423a23dc52
15148911686
hexc7569fc0

3344342976 has 168 divisors, whose sum is σ = 10603223904. Its totient is φ = 1001134080.

The previous prime is 3344342971. The next prime is 3344342977. The reversal of 3344342976 is 6792434433.

It is a super-2 number, since 2×33443429762 = 22369259882241073152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344342971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271021 + ... + 283091.

It is an arithmetic number, because the mean of its divisors is an integer number (63114428).

Almost surely, 23344342976 is an apocalyptic number.

3344342976 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 3344342976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301611952).

3344342976 is an abundant number, since it is smaller than the sum of its proper divisors (7258880928).

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

3344342976 is a wasteful number, since it uses less digits than its factorization.

3344342976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12139 (or 12126 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3344342976 is about 57830.2946214179. The cubic root of 3344342976 is about 1495.4443969941. Note that the first 3 decimals are identical.

The spelling of 3344342976 in words is "three billion, three hundred forty-four million, three hundred forty-two thousand, nine hundred seventy-six".