Base | Representation |
---|---|
bin | 1100001001110001… |
… | …1110000000000000 |
3 | 22102100111002212000 |
4 | 3002130132000000 |
5 | 23140113232231 |
6 | 1255413104000 |
7 | 143561415000 |
oct | 30234360000 |
9 | 8370432760 |
10 | 3262242816 |
11 | 14244a6348 |
12 | 770628000 |
13 | 3ccb225c1 |
14 | 22d38c000 |
15 | 1415e56e6 |
hex | c271e000 |
3262242816 has 448 divisors, whose sum is σ = 11533632000. Its totient is φ = 910393344.
The previous prime is 3262242811. The next prime is 3262242817. The reversal of 3262242816 is 6182422623.
3262242816 is a `hidden beast` number, since 3 + 2 + 622 + 4 + 28 + 1 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3262242811) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75866091 + ... + 75866133.
Almost surely, 23262242816 is an apocalyptic number.
3262242816 is a gapful number since it is divisible by the number (36) 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 3262242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766816000).
3262242816 is an abundant number, since it is smaller than the sum of its proper divisors (8271389184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3262242816 is an frugal number, since it uses more digits than its factorization.
3262242816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 99 (or 55 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 3262242816 is about 57116.0469220341. The cubic root of 3262242816 is about 1483.1056673805.
3262242816 divided by its product of digits (55296) gives a triangular number (58996 = T343).
The spelling of 3262242816 in words is "three billion, two hundred sixty-two million, two hundred forty-two thousand, eight hundred sixteen".
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