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3403860096 = 273713259127
BaseRepresentation
bin1100101011100010…
…1100100010000000
322210012222000020110
43022320230202000
523432342010341
61321432311320
7150231222240
oct31270544200
98705860213
103403860096
11149743251a
127abb42540
13423277b00
142440d3b20
1514dc6b216
hexcae2c880

3403860096 has 384 divisors, whose sum is σ = 11468390400. Its totient is φ = 875556864.

The previous prime is 3403860073. The next prime is 3403860149. The reversal of 3403860096 is 6900683043.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×34038600962 = 23172527106282258432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26801985 + ... + 26802111.

It is an arithmetic number, because the mean of its divisors is an integer number (29865600).

Almost surely, 23403860096 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 3403860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5734195200).

3403860096 is an abundant number, since it is smaller than the sum of its proper divisors (8064530304).

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

3403860096 is a wasteful number, since it uses less digits than its factorization.

3403860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3403860096 is about 58342.6096091013. The cubic root of 3403860096 is about 1504.2634403478.

The spelling of 3403860096 in words is "three billion, four hundred three million, eight hundred sixty thousand, ninety-six".