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30338748 = 223211233331
BaseRepresentation
bin111001110111…
…0111010111100
32010002100221100
41303232322330
530231314443
63002133100
7515606106
oct163567274
963070840
1030338748
1116141a50
12a1b1190
13639322b
14405a576
1529e43d3
hex1ceeebc

30338748 has 72 divisors (see below), whose sum is σ = 87325056. Its totient is φ = 8791200.

The previous prime is 30338747. The next prime is 30338773. The reversal of 30338748 is 84783303.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7443 + ... + 10773.

It is an arithmetic number, because the mean of its divisors is an integer number (1212848).

Almost surely, 230338748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30338748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43662528).

30338748 is an abundant number, since it is smaller than the sum of its proper divisors (56986308).

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

30338748 is a wasteful number, since it uses less digits than its factorization.

30338748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 30338748 is about 5508.0620911533. The cubic root of 30338748 is about 311.8883969678. Note that the first 3 decimals are identical.

It can be divided in two parts, 3033 and 8748, that added together give a triangular number (11781 = T153).

The spelling of 30338748 in words is "thirty million, three hundred thirty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 3331 4554 6662 9108 9993 13324 19986 29979 36641 39972 59958 73282 76613 109923 119916 146564 153226 219846 229839 306452 329769 439692 459678 659538 689517 842743 919356 1319076 1379034 1685486 2528229 2758068 3370972 5056458 7584687 10112916 15169374 30338748