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424701630 = 2345796637
BaseRepresentation
bin11001010100000…
…110111010111110
31002121011002010000
4121110012322332
51332210423010
6110050455130
713344622113
oct3124067276
91077132100
10424701630
111a8807691
12ba2944a6
1369caca52
144059490a
15274427c0
hex19506ebe

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".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 237 270 395 405 474 711 790 810 1185 1422 2133 2370 3555 4266 6399 6637 7110 10665 12798 13274 19911 21330 31995 33185 39822 59733 63990 66370 99555 119466 179199 199110 298665 358398 524323 537597 597330 895995 1048646 1075194 1572969 1791990 2621615 2687985 3145938 4718907 5243230 5375970 7864845 9437814 14156721 15729690 23594535 28313442 42470163 47189070 70783605 84940326 141567210 212350815 424701630