Base | Representation |
---|---|
bin | 1111000110000… |
… | …0111001000000 |
3 | 11102010112221120 |
4 | 3301200321000 |
5 | 112201431144 |
6 | 10140552240 |
7 | 1366065261 |
oct | 361407100 |
9 | 142115846 |
10 | 63311424 |
11 | 328128a0 |
12 | 19252680 |
13 | 101692a7 |
14 | 85a0968 |
15 | 5858e19 |
hex | 3c60e40 |
63311424 has 112 divisors (see below), whose sum is σ = 188829696. Its totient is φ = 18547200.
The previous prime is 63311419. The next prime is 63311429. The reversal of 63311424 is 42411336.
It is an interprime number because it is at equal distance from previous prime (63311419) and next prime (63311429).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 63311394 and 63311403.
It is not an unprimeable number, because it can be changed into a prime (63311429) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64989 + ... + 65955.
Almost surely, 263311424 is an apocalyptic number.
63311424 is a gapful number since it is divisible by the number (64) 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 63311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94414848).
63311424 is an abundant number, since it is smaller than the sum of its proper divisors (125518272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63311424 is a wasteful number, since it uses less digits than its factorization.
63311424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1024 (or 1014 counting only the distinct ones).
The product of its digits is 1728, while the sum is 24.
The square root of 63311424 is about 7956.8476169900. The cubic root of 63311424 is about 398.5602909785.
The spelling of 63311424 in words is "sixty-three million, three hundred eleven thousand, four hundred twenty-four".
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