Search a number
-
+
30321324 = 22331125523
BaseRepresentation
bin111001110101…
…0101010101100
32010001111001000
41303222222230
530230240244
63001520300
7515504235
oct163525254
963044030
1030321324
111612a950
12a1a3090
136388317
14405408c
1529de169
hex1ceaaac

30321324 has 48 divisors (see below), whose sum is σ = 85760640. Its totient is φ = 9187920.

The previous prime is 30321323. The next prime is 30321329. The reversal of 30321324 is 42312303.

It is a super-2 number, since 2×303213242 = 1838765378225952, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30321297 and 30321306.

It is not an unprimeable number, because it can be changed into a prime (30321323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11574 + ... + 13949.

It is an arithmetic number, because the mean of its divisors is an integer number (1786680).

Almost surely, 230321324 is an apocalyptic number.

It is an amenable number.

30321324 is an abundant number, since it is smaller than the sum of its proper divisors (55439316).

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

30321324 is a wasteful number, since it uses less digits than its factorization.

30321324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25547 (or 25539 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 30321324 is about 5506.4801824759. The cubic root of 30321324 is about 311.8286781323.

Adding to 30321324 its reverse (42312303), we get a palindrome (72633627).

It can be divided in two parts, 3032 and 1324, that added together give a square (4356 = 662).

The spelling of 30321324 in words is "thirty million, three hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 25523 51046 76569 102092 153138 229707 280753 306276 459414 561506 689121 842259 918828 1123012 1378242 1684518 2526777 2756484 3369036 5053554 7580331 10107108 15160662 30321324