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3404927136 = 253134367947
BaseRepresentation
bin1100101011110011…
…0001000010100000
322210021222012221110
43022330301002200
523433130132021
61321511223320
7150243255162
oct31274610240
98707865843
103404927136
111497aa1176
127b0377b40
1342355c6b0
142442d0932
1514ddcc476
hexcaf310a0

3404927136 has 192 divisors, whose sum is σ = 10006875648. Its totient is φ = 1006967808.

The previous prime is 3404927087. The next prime is 3404927147. The reversal of 3404927136 is 6317294043.

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

It is a junction number, because it is equal to n+sod(n) for n = 3404927094 and 3404927103.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3595015 + ... + 3595961.

It is an arithmetic number, because the mean of its divisors is an integer number (52119144).

Almost surely, 23404927136 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 3404927136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003437824).

3404927136 is an abundant number, since it is smaller than the sum of its proper divisors (6601948512).

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

3404927136 is a wasteful number, since it uses less digits than its factorization.

3404927136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3404927136 is about 58351.7534955035. The cubic root of 3404927136 is about 1504.4206091231.

The spelling of 3404927136 in words is "three billion, four hundred four million, nine hundred twenty-seven thousand, one hundred thirty-six".