Base | Representation |
---|---|
bin | 1110111001000010… |
… | …0110111101010000 |
3 | 101022120200110122200 |
4 | 3232100212331100 |
5 | 31141304100110 |
6 | 1500352403200 |
7 | 201025520025 |
oct | 35620467520 |
9 | 11276613580 |
10 | 3997331280 |
11 | 1771431178 |
12 | 936846500 |
13 | 4b91c8aa7 |
14 | 29cc5b54c |
15 | 185de96c0 |
hex | ee426f50 |
3997331280 has 120 divisors (see below), whose sum is σ = 13435771752. Its totient is φ = 1065050112.
The previous prime is 3997331263. The next prime is 3997331339. The reversal of 3997331280 is 821337993.
3997331280 is a `hidden beast` number, since 39 + 9 + 7 + 331 + 280 = 666.
3997331280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 1342196496 + 2655134784 = 36636^2 + 51528^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652632 + ... + 1655048.
Almost surely, 23997331280 is an apocalyptic number.
3997331280 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 3997331280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717885876).
3997331280 is an abundant number, since it is smaller than the sum of its proper divisors (9438440472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3997331280 is a wasteful number, since it uses less digits than its factorization.
3997331280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4733 (or 4724 counting only the distinct ones).
The product of its (nonzero) digits is 244944, while the sum is 45.
The square root of 3997331280 is about 63224.4515990451. The cubic root of 3997331280 is about 1587.0479460169.
It can be divided in two parts, 39973 and 31280, that added together give a triangular number (71253 = T377).
The spelling of 3997331280 in words is "three billion, nine hundred ninety-seven million, three hundred thirty-one thousand, two hundred eighty".
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