Base | Representation |
---|---|
bin | 1101000000000111… |
… | …0110100110100000 |
3 | 100000020022211020100 |
4 | 3100001312212200 |
5 | 24121434143340 |
6 | 1334153542400 |
7 | 152326520604 |
oct | 32001664640 |
9 | 10006284210 |
10 | 3490146720 |
11 | 1531107985 |
12 | 814a14a00 |
13 | 4380c9798 |
14 | 251755504 |
15 | 156612830 |
hex | d00769a0 |
3490146720 has 144 divisors (see below), whose sum is σ = 12105678312. Its totient is φ = 915425280.
The previous prime is 3490146703. The next prime is 3490146721. The reversal of 3490146720 is 276410943.
3490146720 is a `hidden beast` number, since 3 + 490 + 146 + 7 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2721082896 + 769063824 = 52164^2 + 27732^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×34901467202 = 24362248254253516800, which contains 22 as substring.
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 (3490146721) 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, 67974 + ... + 107706.
Almost surely, 23490146720 is an apocalyptic number.
3490146720 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 3490146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052839156).
3490146720 is an abundant number, since it is smaller than the sum of its proper divisors (8615531592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3490146720 is a wasteful number, since it uses less digits than its factorization.
3490146720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39815 (or 39804 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 3490146720 is about 59077.4637234877. The cubic root of 3490146720 is about 1516.8683677056.
The spelling of 3490146720 in words is "three billion, four hundred ninety million, one hundred forty-six thousand, seven hundred twenty".
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