Search a number
-
+
30349764 = 22321944371
BaseRepresentation
bin111001111000…
…1100111000100
32010002221001100
41303301213010
530232143024
63002300100
7515653164
oct163614704
963087040
1030349764
111614a255
12a1b7630
136398253
1440605a4
1529e77c9
hex1cf19c4

30349764 has 36 divisors (see below), whose sum is σ = 80757040. Its totient is φ = 9583920.

The previous prime is 30349763. The next prime is 30349789. The reversal of 30349764 is 46794303.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×303497642 = 1842216349711392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30349763) 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 11 ways as a sum of consecutive naturals, for example, 21502 + ... + 22869.

Almost surely, 230349764 is an apocalyptic number.

It is an amenable number.

30349764 is an abundant number, since it is smaller than the sum of its proper divisors (50407276).

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

30349764 is a wasteful number, since it uses less digits than its factorization.

30349764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44400 (or 44395 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 30349764 is about 5509.0619891230. The cubic root of 30349764 is about 311.9261412942.

Adding to 30349764 its product of nonzero digits (54432), we get a square (30404196 = 55142).

It can be divided in two parts, 30349 and 764, that added together give a palindrome (31113).

The spelling of 30349764 in words is "thirty million, three hundred forty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 44371 88742 133113 177484 266226 399339 532452 798678 843049 1597356 1686098 2529147 3372196 5058294 7587441 10116588 15174882 30349764