Search a number
-
+
30769344 = 263253419
BaseRepresentation
bin111010101100…
…0000011000000
32010220020121100
41311120003000
530334104334
63015254400
7522351354
oct165300300
963806540
1030769344
1116406511
12a37a400
1364b4218
14412d464
152a7bc99
hex1d580c0

30769344 has 42 divisors (see below), whose sum is σ = 88196420. Its totient is φ = 10256256.

The previous prime is 30769327. The next prime is 30769357. The reversal of 30769344 is 44396703.

30769344 is a `hidden beast` number, since 307 + 6 + 9 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30769299 and 30769308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26134 + ... + 27285.

Almost surely, 230769344 is an apocalyptic number.

It is an amenable number.

30769344 is an abundant number, since it is smaller than the sum of its proper divisors (57427076).

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

30769344 is a wasteful number, since it uses less digits than its factorization.

30769344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53437 (or 53424 counting only the distinct ones).

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

The square root of 30769344 is about 5547.0121687265. The cubic root of 30769344 is about 313.3570084218.

It can be divided in two parts, 30769 and 344, that added together give a palindrome (31113).

The spelling of 30769344 in words is "thirty million, seven hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 53419 106838 160257 213676 320514 427352 480771 641028 854704 961542 1282056 1709408 1923084 2564112 3418816 3846168 5128224 7692336 10256448 15384672 30769344