Search a number
-
+
30116352 = 29372801
BaseRepresentation
bin111001011100…
…0101000000000
32002200001212110
41302320220000
530202210402
62553255320
7513661530
oct162705000
962601773
1030116352
1115aaa952
12a104540
136315c36
143ddd4c0
15299d56c
hex1cb8a00

30116352 has 80 divisors (see below), whose sum is σ = 91726272. Its totient is φ = 8601600.

The previous prime is 30116351. The next prime is 30116353. The reversal of 30116352 is 25361103.

It is an interprime number because it is at equal distance from previous prime (30116351) and next prime (30116353).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (30116351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9352 + ... + 12152.

Almost surely, 230116352 is an apocalyptic number.

30116352 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 30116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45863136).

30116352 is an abundant number, since it is smaller than the sum of its proper divisors (61609920).

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

30116352 is an equidigital number, since it uses as much as digits as its factorization.

30116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 30116352 is about 5487.8367322653. The cubic root of 30116352 is about 311.1244354082.

Adding to 30116352 its reverse (25361103), we get a palindrome (55477455).

It can be divided in two parts, 301 and 16352, that added together give a triangular number (16653 = T182).

The spelling of 30116352 in words is "thirty million, one hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 2801 3584 5376 5602 8403 10752 11204 16806 19607 22408 33612 39214 44816 58821 67224 78428 89632 117642 134448 156856 179264 235284 268896 313712 358528 470568 537792 627424 717056 941136 1075584 1254848 1434112 1882272 2151168 2509696 3764544 4302336 5019392 7529088 10038784 15058176 30116352