Search a number
-
+
30340512 = 2532176197
BaseRepresentation
bin111001110111…
…1010110100000
32010002110100200
41303233112200
530231344022
63002145200
7515614206
oct163572640
963073320
1030340512
1116143304
12a1b2200
136393c87
14405b076
1529e4bac
hex1cef5a0

30340512 has 72 divisors (see below), whose sum is σ = 91370916. Its totient is φ = 9517056.

The previous prime is 30340507. The next prime is 30340543. The reversal of 30340512 is 21504303.

It can be written as a sum of positive squares in 2 ways, for example, as 30074256 + 266256 = 5484^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1798 + ... + 7994.

Almost surely, 230340512 is an apocalyptic number.

30340512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30340512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45685458).

30340512 is an abundant number, since it is smaller than the sum of its proper divisors (61030404).

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

30340512 is a wasteful number, since it uses less digits than its factorization.

30340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30340512 is about 5508.2222177396. Note that the first 4 decimals coincide. The cubic root of 30340512 is about 311.8944416082.

Adding to 30340512 its reverse (21504303), we get a palindrome (51844815).

The spelling of 30340512 in words is "thirty million, three hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 6197 12394 18591 24788 37182 49576 55773 74364 99152 105349 111546 148728 198304 210698 223092 297456 316047 421396 446184 594912 632094 842792 892368 948141 1264188 1685584 1784736 1896282 2528376 3371168 3792564 5056752 7585128 10113504 15170256 30340512