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3336425040 = 2435132431913
BaseRepresentation
bin1100011011011101…
…1100111001010000
322121112001221201210
43012313130321100
523313111100130
61311023100120
7145452100464
oct30667347120
98545057653
103336425040
111462363573
12791441640
134122c6900
1423917c4a4
15147d9a5b0
hexc6ddce50

3336425040 has 240 divisors, whose sum is σ = 11466176832. Its totient is φ = 801755136.

The previous prime is 3336425039. The next prime is 3336425077. The reversal of 3336425040 is 405246333.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33364250402 = 22263464095078003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3336424989 and 3336425007.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1743124 + ... + 1745036.

Almost surely, 23336425040 is an apocalyptic number.

3336425040 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 3336425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733088416).

3336425040 is an abundant number, since it is smaller than the sum of its proper divisors (8129751792).

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

3336425040 is a wasteful number, since it uses less digits than its factorization.

3336425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3336425040 is about 57761.7956784586. The cubic root of 3336425040 is about 1494.2632791030.

The spelling of 3336425040 in words is "three billion, three hundred thirty-six million, four hundred twenty-five thousand, forty".