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3409683000 = 2335319411459
BaseRepresentation
bin1100101100111011…
…1010001000111000
322210121220211202120
43023032322020320
523440334324000
61322201201240
7150331553523
oct31316721070
98717824676
103409683000
11149a74a339
127b1a90220
13424536309
14244babbba
1514e51b6a0
hexcb3ba238

3409683000 has 256 divisors, whose sum is σ = 11479104000. Its totient is φ = 839808000.

The previous prime is 3409682999. The next prime is 3409683031. The reversal of 3409683000 is 3869043.

3409683000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2336271 + ... + 2337729.

It is an arithmetic number, because the mean of its divisors is an integer number (44840250).

Almost surely, 23409683000 is an apocalyptic number.

3409683000 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 3409683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739552000).

3409683000 is an abundant number, since it is smaller than the sum of its proper divisors (8069421000).

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

3409683000 is a wasteful number, since it uses less digits than its factorization.

3409683000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3409683000 is about 58392.4909556015. The cubic root of 3409683000 is about 1505.1207211397.

The spelling of 3409683000 in words is "three billion, four hundred nine million, six hundred eighty-three thousand".