Base | Representation |
---|---|
bin | 11001010100000… |
… | …110111010111110 |
3 | 1002121011002010000 |
4 | 121110012322332 |
5 | 1332210423010 |
6 | 110050455130 |
7 | 13344622113 |
oct | 3124067276 |
9 | 1077132100 |
10 | 424701630 |
11 | 1a8807691 |
12 | ba2944a6 |
13 | 69caca52 |
14 | 4059490a |
15 | 274427c0 |
hex | 19506ebe |
424701630 has 80 divisors (see below), whose sum is σ = 1156605120. Its totient is φ = 111803328.
The previous prime is 424701617. The next prime is 424701631. The reversal of 424701630 is 36107424.
424701630 is a `hidden beast` number, since 4 + 24 + 7 + 0 + 1 + 630 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 424701594 and 424701603.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424701631) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60672 + ... + 67308.
It is an arithmetic number, because the mean of its divisors is an integer number (14457564).
Almost surely, 2424701630 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 424701630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578302560).
424701630 is an abundant number, since it is smaller than the sum of its proper divisors (731903490).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424701630 is a wasteful number, since it uses less digits than its factorization.
424701630 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6735 (or 6726 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 27.
The square root of 424701630 is about 20608.2903221010. The cubic root of 424701630 is about 751.6713128513.
It can be divided in two parts, 42470 and 1630, that added together give a square (44100 = 2102).
The spelling of 424701630 in words is "four hundred twenty-four million, seven hundred one thousand, six hundred thirty".
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