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3441446680 = 235717271599
BaseRepresentation
bin1100110100100000…
…0100111100011000
322212211200121100011
43031020010330120
524022002243210
61325254051304
7151165546150
oct31510047430
98784617304
103441446680
111506674911
12800649b34
1342aca7ca9
142490b9760
151521e2d8a
hexcd204f18

3441446680 has 192 divisors, whose sum is σ = 9548928000. Its totient is φ = 1093048320.

The previous prime is 3441446669. The next prime is 3441446689. The reversal of 3441446680 is 866441443.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441446689) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5745021 + ... + 5745619.

It is an arithmetic number, because the mean of its divisors is an integer number (49734000).

Almost surely, 23441446680 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 3441446680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4774464000).

3441446680 is an abundant number, since it is smaller than the sum of its proper divisors (6107481320).

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

3441446680 is a wasteful number, since it uses less digits than its factorization.

3441446680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 3441446680 is about 58663.8447427374. The cubic root of 3441446680 is about 1509.7800477836.

The spelling of 3441446680 in words is "three billion, four hundred forty-one million, four hundred forty-six thousand, six hundred eighty".