Search a number
-
+
305331424 = 25171134967
BaseRepresentation
bin10010001100101…
…111110011100000
3210021112102222021
4102030233303200
51111131101144
650144151224
710365163036
oct2214576340
9707472867
10305331424
11147396022
1286308514
134b3466a8
142c7a0556
151bc13884
hex1232fce0

305331424 has 48 divisors (see below), whose sum is σ = 642243168. Its totient is φ = 142385152.

The previous prime is 305331391. The next prime is 305331457. The reversal of 305331424 is 424133503.

It is an interprime number because it is at equal distance from previous prime (305331391) and next prime (305331457).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58989 + ... + 63955.

It is an arithmetic number, because the mean of its divisors is an integer number (13380066).

Almost surely, 2305331424 is an apocalyptic number.

305331424 is a gapful number since it is divisible by the number (34) 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 305331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321121584).

305331424 is an abundant number, since it is smaller than the sum of its proper divisors (336911744).

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

305331424 is a wasteful number, since it uses less digits than its factorization.

305331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 305331424 is about 17473.7352618151. The cubic root of 305331424 is about 673.3752778062.

Adding to 305331424 its reverse (424133503), we get a palindrome (729464927).

The spelling of 305331424 in words is "three hundred five million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 113 136 226 272 452 544 904 1808 1921 3616 3842 4967 7684 9934 15368 19868 30736 39736 61472 79472 84439 158944 168878 337756 561271 675512 1122542 1351024 2245084 2702048 4490168 8980336 9541607 17960672 19083214 38166428 76332856 152665712 305331424