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3366640640 = 210511232113
BaseRepresentation
bin1100100010101010…
…1101110000000000
322200121221001202002
43020222231300000
523343330000030
61314022443132
7146266654556
oct31052556000
98617831662
103366640640
111478420a40
1279b5934a8
13418645a6c
1423d1a5bd6
1514a868245
hexc8aadc00

3366640640 has 264 divisors, whose sum is σ = 9291382128. Its totient is φ = 1160642560.

The previous prime is 3366640639. The next prime is 3366640643. The reversal of 3366640640 is 460466633.

It is a super-2 number, since 2×33666406402 = 22668538397799219200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3366640594 and 3366640603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366640643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29793224 + ... + 29793336.

Almost surely, 23366640640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645691064).

3366640640 is an abundant number, since it is smaller than the sum of its proper divisors (5924741488).

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

3366640640 is a wasteful number, since it uses less digits than its factorization.

3366640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The square root of 3366640640 is about 58022.7596723906. The cubic root of 3366640640 is about 1498.7605524249.

The spelling of 3366640640 in words is "three billion, three hundred sixty-six million, six hundred forty thousand, six hundred forty".