Search a number
-
+
30050034 = 2372432377
BaseRepresentation
bin111001010100…
…0011011110010
32002112200220020
41302220123302
530143100114
62552024310
7513264300
oct162503362
962480806
1030050034
1115a65043
12a092096
1362c19b1
143dc3270
152988aa9
hex1ca86f2

30050034 has 48 divisors (see below), whose sum is σ = 71568288. Its totient is φ = 8382528.

The previous prime is 30049979. The next prime is 30050047. The reversal of 30050034 is 43005003.

It is a junction number, because it is equal to n+sod(n) for n = 30049995 and 30050022.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11454 + ... + 13830.

It is an arithmetic number, because the mean of its divisors is an integer number (1491006).

Almost surely, 230050034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30050034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35784144).

30050034 is an abundant number, since it is smaller than the sum of its proper divisors (41518254).

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

30050034 is a wasteful number, since it uses less digits than its factorization.

30050034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 30050034 is about 5481.7911306433. The cubic root of 30050034 is about 310.8958960640.

Adding to 30050034 its reverse (43005003), we get a palindrome (73055037).

The spelling of 30050034 in words is "thirty million, fifty thousand, thirty-four", and thus it is an eban number.

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 2377 4214 4754 6321 7131 12642 14262 16639 33278 49917 99834 102211 116473 204422 232946 306633 349419 613266 698838 715477 1430954 2146431 4292862 5008339 10016678 15025017 30050034