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30124314 = 23211353431
BaseRepresentation
bin111001011101…
…0100100011010
32002200110210100
41302322210122
530202434224
62553400230
7514023663
oct162724432
962613710
1030124314
1116005930
12a109076
13631974c
14400236a
1529a0ac9
hex1cba91a

30124314 has 48 divisors (see below), whose sum is σ = 71570304. Its totient is φ = 9081600.

The previous prime is 30124313. The next prime is 30124333. The reversal of 30124314 is 41342103.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30124313) 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 23 ways as a sum of consecutive naturals, for example, 69679 + ... + 70109.

It is an arithmetic number, because the mean of its divisors is an integer number (1491048).

Almost surely, 230124314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30124314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35785152).

30124314 is an abundant number, since it is smaller than the sum of its proper divisors (41445990).

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

30124314 is a wasteful number, since it uses less digits than its factorization.

30124314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30124314 is about 5488.5621067817. The cubic root of 30124314 is about 311.1518507968.

Adding to 30124314 its reverse (41342103), we get a palindrome (71466417).

The spelling of 30124314 in words is "thirty million, one hundred twenty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 353 431 706 862 1059 1293 2118 2586 3177 3879 3883 4741 6354 7758 7766 9482 11649 14223 23298 28446 34947 42669 69894 85338 152143 304286 456429 912858 1369287 1673573 2738574 3347146 5020719 10041438 15062157 30124314