Search a number
-
+
30331476 = 2233753757
BaseRepresentation
bin111001110110…
…1001001010100
32010001222222000
41303231021110
530231101401
63002035300
7515545650
oct163551124
963058860
1030331476
111613753a
12a1a8b30
13638cb26
144057a60
1529e2186
hex1ced254

30331476 has 96 divisors (see below), whose sum is σ = 91687680. Its totient is φ = 8491392.

The previous prime is 30331471. The next prime is 30331493. The reversal of 30331476 is 67413303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30331471) 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 31 ways as a sum of consecutive naturals, for example, 39690 + ... + 40446.

It is an arithmetic number, because the mean of its divisors is an integer number (955080).

Almost surely, 230331476 is an apocalyptic number.

30331476 is a gapful number since it is divisible by the number (36) 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 30331476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45843840).

30331476 is an abundant number, since it is smaller than the sum of its proper divisors (61356204).

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

30331476 is a wasteful number, since it uses less digits than its factorization.

30331476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 30331476 is about 5507.4019283143. The cubic root of 30331476 is about 311.8634757717.

Adding to 30331476 its reverse (67413303), we get a palindrome (97744779).

The spelling of 30331476 in words is "thirty million, three hundred thirty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 757 954 1113 1431 1484 1514 1908 2226 2271 2862 3028 3339 4452 4542 5299 5724 6678 6813 9084 10017 10598 13356 13626 15897 20034 20439 21196 27252 31794 40068 40121 40878 47691 63588 80242 81756 95382 120363 143073 160484 190764 240726 280847 286146 361089 481452 561694 572292 722178 842541 1083267 1123388 1444356 1685082 2166534 2527623 3370164 4333068 5055246 7582869 10110492 15165738 30331476