Search a number
-
+
30331434 = 23717231847
BaseRepresentation
bin111001110110…
…1001000101010
32010001222220110
41303231020222
530231101214
63002035150
7515545560
oct163551052
963058813
1030331434
1116137501
12a1a8ab6
13638cac3
144057a30
1529e2159
hex1ced22a

30331434 has 64 divisors (see below), whose sum is σ = 76640256. Its totient is φ = 7797504.

The previous prime is 30331409. The next prime is 30331439. The reversal of 30331434 is 43413303.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 30331434.

It is not an unprimeable number, because it can be changed into a prime (30331439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15499 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (1197504).

Almost surely, 230331434 is an apocalyptic number.

30331434 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30331434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128).

30331434 is an abundant number, since it is smaller than the sum of its proper divisors (46308822).

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

30331434 is a wasteful number, since it uses less digits than its factorization.

30331434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 30331434 is about 5507.3981152628. The cubic root of 30331434 is about 311.8633318259.

Adding to 30331434 its reverse (43413303), we get a palindrome (73744737).

The spelling of 30331434 in words is "thirty million, three hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 357 391 483 714 782 966 1173 1847 2346 2737 3694 5474 5541 8211 11082 12929 16422 25858 31399 38787 42481 62798 77574 84962 94197 127443 188394 219793 254886 297367 439586 594734 659379 722177 892101 1318758 1444354 1784202 2166531 4333062 5055239 10110478 15165717 30331434