Search a number
-
+
30108264 = 23329181239
BaseRepresentation
bin111001011011…
…0101001101000
32002122122202220
41302312221220
530201431024
62553154040
7513626124
oct162665150
962578686
1030108264
1115aa486a
12a0bb920
136312354
143dda584
15299ae79
hex1cb6a68

30108264 has 64 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 9596160.

The previous prime is 30108257. The next prime is 30108277. The reversal of 30108264 is 46280103.

It is a happy number.

It is a super-2 number, since 2×301082642 = 1813015122187392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 125857 + ... + 126095.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 230108264 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 30108264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

30108264 is an abundant number, since it is smaller than the sum of its proper divisors (48515736).

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

30108264 is a wasteful number, since it uses less digits than its factorization.

30108264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30108264 is about 5487.0997803940. The cubic root of 30108264 is about 311.0965812186.

Adding to 30108264 its reverse (46280103), we get a palindrome (76388367).

The spelling of 30108264 in words is "thirty million, one hundred eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 181 232 239 348 362 478 543 696 717 724 956 1086 1434 1448 1912 2172 2868 4344 5249 5736 6931 10498 13862 15747 20793 20996 27724 31494 41586 41992 43259 55448 62988 83172 86518 125976 129777 166344 173036 259554 346072 519108 1038216 1254511 2509022 3763533 5018044 7527066 10036088 15054132 30108264