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3212424306 = 2337132343661
BaseRepresentation
bin1011111101111001…
…1011010001110010
322021212202001201000
42333132123101302
523034340034211
61250433222430
7142415104350
oct27736332162
98255661630
103212424306
1113a9369a23
12757a01a16
133c26cb9b0
142269007d0
1513c054656
hexbf79b472

3212424306 has 256 divisors, whose sum is σ = 9395527680. Its totient is φ = 790352640.

The previous prime is 3212424269. The next prime is 3212424359. The reversal of 3212424306 is 6034242123.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3212424306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4859616 + ... + 4860276.

It is an arithmetic number, because the mean of its divisors is an integer number (36701280).

Almost surely, 23212424306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212424306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697763840).

3212424306 is an abundant number, since it is smaller than the sum of its proper divisors (6183103374).

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

3212424306 is a wasteful number, since it uses less digits than its factorization.

3212424306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3212424306 is about 56678.2524959971. The cubic root of 3212424306 is about 1475.5172838163.

Adding to 3212424306 its reverse (6034242123), we get a palindrome (9246666429).

The spelling of 3212424306 in words is "three billion, two hundred twelve million, four hundred twenty-four thousand, three hundred six".