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3214336104 = 2332722989353
BaseRepresentation
bin1011111110010110…
…1110000001101000
322022000100012012100
42333211232001220
523040332223404
61250542213400
7142440256200
oct27745560150
98260305170
103214336104
1113aa455321
12758584260
133c2c1ac35
14226c7b400
1513c2d0d39
hexbf96e068

3214336104 has 288 divisors, whose sum is σ = 10623717000. Its totient is φ = 874266624.

The previous prime is 3214336087. The next prime is 3214336109. The reversal of 3214336104 is 4016334123.

3214336104 is a `hidden beast` number, since 3 + 2 + 1 + 43 + 3 + 610 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2208812004 + 1005524100 = 46998^2 + 31710^2 .

It is not an unprimeable number, because it can be changed into a prime (3214336109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9105592 + ... + 9105944.

Almost surely, 23214336104 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 3214336104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311858500).

3214336104 is an abundant number, since it is smaller than the sum of its proper divisors (7409380896).

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

3214336104 is a wasteful number, since it uses less digits than its factorization.

3214336104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3214336104 is about 56695.1153451512. The cubic root of 3214336104 is about 1475.8099321211.

The spelling of 3214336104 in words is "three billion, two hundred fourteen million, three hundred thirty-six thousand, one hundred four".