Base | Representation |
---|---|
bin | 1100101011110000… |
… | …1000101000100000 |
3 | 22210021122210220200 |
4 | 3022330020220200 |
5 | 23433104333012 |
6 | 1321503505200 |
7 | 150241665516 |
oct | 31274105040 |
9 | 8707583820 |
10 | 3404761632 |
11 | 1497998898 |
12 | 7b02b8200 |
13 | 42350226c |
14 | 24428a4b6 |
15 | 14dd983dc |
hex | caf08a20 |
3404761632 has 144 divisors (see below), whose sum is σ = 10327655520. Its totient is φ = 1060263936.
The previous prime is 3404761627. The next prime is 3404761637. The reversal of 3404761632 is 2361674043.
It is a happy number.
3404761632 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 7 + 616 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (3404761627) and next prime (3404761637).
It is a tau number, because it is divible by the number of its divisors (144).
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 (3404761637) 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, 678043 + ... + 683045.
It is an arithmetic number, because the mean of its divisors is an integer number (71719830).
Almost surely, 23404761632 is an apocalyptic number.
3404761632 is a gapful number since it is divisible by the number (32) 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 3404761632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163827760).
3404761632 is an abundant number, since it is smaller than the sum of its proper divisors (6922893888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3404761632 is a wasteful number, since it uses less digits than its factorization.
3404761632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5175 (or 5164 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The square root of 3404761632 is about 58350.3353203733. The cubic root of 3404761632 is about 1504.3962334999.
The spelling of 3404761632 in words is "three billion, four hundred four million, seven hundred sixty-one thousand, six hundred thirty-two".
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