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3426227200 = 2105211233
BaseRepresentation
bin1100110000111000…
…0001010000000000
322211210001101010201
43030032001100000
524004103232300
61323551534544
7150622310404
oct31416012000
98753041121
103426227200
1114a901a230
127b752a454
13427aa9796
14247077104
15150bd866a
hexcc381400

3426227200 has 264 divisors, whose sum is σ = 9686076480. Its totient is φ = 1191731200.

The previous prime is 3426227179. The next prime is 3426227201. The reversal of 3426227200 is 27226243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426227201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148966389 + ... + 148966411.

Almost surely, 23426227200 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 3426227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843038240).

3426227200 is an abundant number, since it is smaller than the sum of its proper divisors (6259849280).

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

3426227200 is an equidigital number, since it uses as much as digits as its factorization.

3426227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 3426227200 is about 58533.9832917597. The cubic root of 3426227200 is about 1507.5511379052.

The spelling of 3426227200 in words is "three billion, four hundred twenty-six million, two hundred twenty-seven thousand, two hundred".