Search a number
-
+
306933844 = 227217251367
BaseRepresentation
bin10010010010110…
…111000001010100
3210101112212002011
4102102313001110
51112033340334
650242354004
710414615600
oct2222670124
9711485064
10306933844
1114828aa38
128695b904
134b787b79
142ca9a500
151be2d564
hex124b7054

306933844 has 72 divisors (see below), whose sum is σ = 666029952. Its totient is φ = 122976000.

The previous prime is 306933817. The next prime is 306933857. The reversal of 306933844 is 448339603.

It is a junction number, because it is equal to n+sod(n) for n = 306933797 and 306933806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836149 + ... + 836515.

It is an arithmetic number, because the mean of its divisors is an integer number (9250416).

Almost surely, 2306933844 is an apocalyptic number.

306933844 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 306933844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333014976).

306933844 is an abundant number, since it is smaller than the sum of its proper divisors (359096108).

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

306933844 is a wasteful number, since it uses less digits than its factorization.

306933844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 306933844 is about 17519.5275050442. The cubic root of 306933844 is about 674.5512107776.

The spelling of 306933844 in words is "three hundred six million, nine hundred thirty-three thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 251 367 476 502 734 833 1004 1468 1666 1757 2569 3332 3514 4267 5138 6239 7028 8534 10276 12299 12478 17068 17983 24598 24956 29869 35966 43673 49196 59738 71932 87346 92117 119476 174692 184234 209083 305711 368468 418166 611422 644819 836332 1222844 1289638 1565989 2579276 3131978 4513733 6263956 9027466 10961923 18054932 21923846 43847692 76733461 153466922 306933844