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3121348608 = 2183572
BaseRepresentation
bin1011101000001100…
…0000000000000000
322001112100221100000
42322003000000000
522343031123413
61233421200000
7140231011500
oct27203000000
98045327300
103121348608
111361a13454
12731400000
133a9891251
14218793a00
15134064073
hexba0c0000

3121348608 has 342 divisors, whose sum is σ = 10877906676. Its totient is φ = 891813888.

The previous prime is 3121348603. The next prime is 3121348609. The reversal of 3121348608 is 8068431213.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3121348608 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 3 + 48 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3121348603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 445906941 + ... + 445906947.

Almost surely, 23121348608 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 3121348608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438953338).

3121348608 is an abundant number, since it is smaller than the sum of its proper divisors (7756558068).

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

3121348608 is an frugal number, since it uses more digits than its factorization.

3121348608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3121348608 is about 55869.0308489417. The cubic root of 3121348608 is about 1461.4392213159.

Multiplying 3121348608 by its product of nonzero digits (27648), we get a square (86299046313984 = 92897282).

3121348608 divided by its product of nonzero digits (27648) gives a square (112896 = 3362).

The spelling of 3121348608 in words is "three billion, one hundred twenty-one million, three hundred forty-eight thousand, six hundred eight".