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434013030 = 2325111992203
BaseRepresentation
bin11001110111101…
…000001101100110
31010020200010221200
4121313220031212
51342101404110
6111022223330
713520023053
oct3167501546
91106603850
10434013030
11202a97460
12101424b46
136bbc0059
14418da02a
15281816c0
hex19de8366

434013030 has 96 divisors (see below), whose sum is σ = 1237766400. Its totient is φ = 104639040.

The previous prime is 434013023. The next prime is 434013037. The reversal of 434013030 is 30310434.

It is an interprime number because it is at equal distance from previous prime (434013023) and next prime (434013037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 434012994 and 434013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434013037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195909 + ... + 198111.

It is an arithmetic number, because the mean of its divisors is an integer number (12893400).

Almost surely, 2434013030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618883200).

434013030 is an abundant number, since it is smaller than the sum of its proper divisors (803753370).

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

434013030 is a wasteful number, since it uses less digits than its factorization.

434013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 434013030 is about 20832.9793836599. The cubic root of 434013030 is about 757.1250047326.

Adding to 434013030 its reverse (30310434), we get a palindrome (464323464).

The spelling of 434013030 in words is "four hundred thirty-four million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 199 330 398 495 597 990 995 1194 1791 1990 2189 2203 2985 3582 4378 4406 5970 6567 6609 8955 10945 11015 13134 13218 17910 19701 19827 21890 22030 24233 32835 33045 39402 39654 48466 65670 66090 72699 98505 99135 121165 145398 197010 198270 218097 242330 363495 436194 438397 726990 876794 1090485 1315191 2180970 2191985 2630382 3945573 4383970 4822367 6575955 7891146 9644734 13151910 14467101 19727865 24111835 28934202 39455730 43401303 48223670 72335505 86802606 144671010 217006515 434013030