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30338742 = 2372372789
BaseRepresentation
bin111001110111…
…0111010110110
32010002100221010
41303232322312
530231314432
63002133050
7515606100
oct163567266
963070833
1030338742
1116141a45
12a1b1186
136393225
14405a570
1529e43cc
hex1ceeeb6

30338742 has 48 divisors (see below), whose sum is σ = 72517680. Its totient is φ = 8430912.

The previous prime is 30338717. The next prime is 30338743. The reversal of 30338742 is 24783303.

It is a super-2 number, since 2×303387422 = 1840878532285128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30338743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9484 + ... + 12272.

It is an arithmetic number, because the mean of its divisors is an integer number (1510785).

Almost surely, 230338742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30338742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36258840).

30338742 is an abundant number, since it is smaller than the sum of its proper divisors (42178938).

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

30338742 is a wasteful number, since it uses less digits than its factorization.

30338742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 30338742 is about 5508.0615464971. The cubic root of 30338742 is about 311.8883764074. Note that the first 3 decimals are identical.

The spelling of 30338742 in words is "thirty million, three hundred thirty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 2789 3626 5439 5578 8367 10878 16734 19523 39046 58569 103193 117138 136661 206386 273322 309579 409983 619158 722351 819966 1444702 2167053 4334106 5056457 10112914 15169371 30338742