Base | Representation |
---|---|
bin | 1110101011111001… |
… | …1001001100000000 |
3 | 101011201222202120000 |
4 | 3222332121030000 |
5 | 31033202142030 |
6 | 1451103320000 |
7 | 166456233204 |
oct | 35276311400 |
9 | 11151882500 |
10 | 3942224640 |
11 | 17433127a2 |
12 | 9202b0000 |
13 | 4aa973203 |
14 | 2957d4b04 |
15 | 181161860 |
hex | eaf99300 |
3942224640 has 360 divisors, whose sum is σ = 14423935680. Its totient is φ = 1027620864.
The previous prime is 3942224603. The next prime is 3942224669. The reversal of 3942224640 is 464222493.
3942224640 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 2 + 2 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×39422246402 = 31082270224446259200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3942224595 and 3942224604.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4872556 + ... + 4873364.
It is an arithmetic number, because the mean of its divisors is an integer number (40066488).
Almost surely, 23942224640 is an apocalyptic number.
3942224640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3942224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211967840).
3942224640 is an abundant number, since it is smaller than the sum of its proper divisors (10481711040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3942224640 is an equidigital number, since it uses as much as digits as its factorization.
3942224640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 889 (or 866 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 3942224640 is about 62787.1375362821. The cubic root of 3942224640 is about 1579.7212348016.
The spelling of 3942224640 in words is "three billion, nine hundred forty-two million, two hundred twenty-four thousand, six hundred forty".
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