Search a number
-
+
30723144 = 2331280131
BaseRepresentation
bin111010100110…
…0110001001000
32010210220020020
41311030301020
530331120034
63014300440
7522066564
oct165146110
963726206
1030723144
1116384831
12a357720
13649919a
14411a6a4
152a6d249
hex1d4cc48

30723144 has 16 divisors (see below), whose sum is σ = 76807920. Its totient is φ = 10241040.

The previous prime is 30723127. The next prime is 30723169. The reversal of 30723144 is 44132703.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1280131 = 30723144 / (3 + 0 + 7 + 2 + 3 + 1 + 4 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640042 + ... + 640089.

It is an arithmetic number, because the mean of its divisors is an integer number (4800495).

Almost surely, 230723144 is an apocalyptic number.

It is an amenable number.

30723144 is an abundant number, since it is smaller than the sum of its proper divisors (46084776).

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

30723144 is a wasteful number, since it uses less digits than its factorization.

30723144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280140 (or 1280136 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 30723144 is about 5542.8462002837. The cubic root of 30723144 is about 313.2000952553.

Adding to 30723144 its reverse (44132703), we get a palindrome (74855847).

It can be divided in two parts, 3072 and 3144, that added together give a triangular number (6216 = T111).

The spelling of 30723144 in words is "thirty million, seven hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1280131 2560262 3840393 5120524 7680786 10241048 15361572 30723144