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424020030 = 2357389463
BaseRepresentation
bin11001010001100…
…000100000111110
31002112212110010120
4121101200200332
51332022120110
6110024115410
713336053000
oct3121404076
91075773116
10424020030
111a8391585
12ba005b66
1369b01735
1440458370
152735a870
hex1946083e

424020030 has 128 divisors (see below), whose sum is σ = 1202688000. Its totient is φ = 95622912.

The previous prime is 424020029. The next prime is 424020031. The reversal of 424020030 is 30020424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (424020029) and next prime (424020031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 424019991 and 424020009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424020031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 915579 + ... + 916041.

It is an arithmetic number, because the mean of its divisors is an integer number (9396000).

Almost surely, 2424020030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601344000).

424020030 is an abundant number, since it is smaller than the sum of its proper divisors (778667970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424020030 is a wasteful number, since it uses less digits than its factorization.

424020030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 424020030 is about 20591.7466476256. The cubic root of 424020030 is about 751.2689805956.

Adding to 424020030 its reverse (30020424), we get a palindrome (454040454).

The spelling of 424020030 in words is "four hundred twenty-four million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 89 98 105 147 178 210 245 267 294 343 445 463 490 534 623 686 735 890 926 1029 1246 1335 1389 1470 1715 1869 2058 2315 2670 2778 3115 3241 3430 3738 4361 4630 5145 6230 6482 6945 8722 9345 9723 10290 13083 13890 16205 18690 19446 21805 22687 26166 30527 32410 41207 43610 45374 48615 61054 65415 68061 82414 91581 97230 113435 123621 130830 136122 152635 158809 183162 206035 226870 247242 288449 305270 317618 340305 412070 457905 476427 576898 618105 680610 794045 865347 915810 952854 1236210 1442245 1588090 1730694 2019143 2382135 2884490 4038286 4326735 4764270 6057429 8653470 10095715 12114858 14134001 20191430 28268002 30287145 42402003 60574290 70670005 84804006 141340010 212010015 424020030