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3409983140 = 225199385549
BaseRepresentation
bin1100101101000000…
…0011011010100100
322210122111002110212
43023100003122210
523440423430030
61322211434552
7150334243544
oct31320033244
98718432425
103409983140
11149a934893
127b1bb5a58
1342460cb05
14244c49324
1514e57a595
hexcb4036a4

3409983140 has 24 divisors (see below), whose sum is σ = 7164641400. Its totient is φ = 1363292928.

The previous prime is 3409983139. The next prime is 3409983149. The reversal of 3409983140 is 413899043.

It can be written as a sum of positive squares in 4 ways, for example, as 37625956 + 3372357184 = 6134^2 + 58072^2 .

It is not an unprimeable number, because it can be changed into a prime (3409983149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2915 + ... + 82634.

It is an arithmetic number, because the mean of its divisors is an integer number (298526725).

Almost surely, 23409983140 is an apocalyptic number.

It is an amenable number.

3409983140 is an abundant number, since it is smaller than the sum of its proper divisors (3754658260).

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

3409983140 is a wasteful number, since it uses less digits than its factorization.

3409983140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87551 (or 87549 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 3409983140 is about 58395.0609212800. The cubic root of 3409983140 is about 1505.1648829849.

The spelling of 3409983140 in words is "three billion, four hundred nine million, nine hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1993 3986 7972 9965 19930 39860 85549 171098 342196 427745 855490 1710980 170499157 340998314 681996628 852495785 1704991570 3409983140