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3339095040 = 210325233311
BaseRepresentation
bin1100011100000110…
…1000110000000000
322121201002121021200
43013001220300000
523314302020130
61311200221200
7145513560651
oct30701506000
98551077250
103339095040
111463917586
1279230a800
13412a1cca8
14239675528
15148226760
hexc7068c00

3339095040 has 264 divisors, whose sum is σ = 11656895328. Its totient is φ = 883752960.

The previous prime is 3339095009. The next prime is 3339095057. The reversal of 3339095040 is 405909333.

It is a happy number.

It is a super-2 number, since 2×33390950402 = 22299111372305203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3339094986 and 3339095004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10736485 + ... + 10736795.

Almost surely, 23339095040 is an apocalyptic number.

3339095040 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 3339095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828447664).

3339095040 is an abundant number, since it is smaller than the sum of its proper divisors (8317800288).

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

3339095040 is a wasteful number, since it uses less digits than its factorization.

3339095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3339095040 is about 57784.9032187474. The cubic root of 3339095040 is about 1494.6617714136.

The spelling of 3339095040 in words is "three billion, three hundred thirty-nine million, ninety-five thousand, forty".