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305324172 = 2232232831303
BaseRepresentation
bin10010001100101…
…110000010001100
3210021112002000200
4102030232002030
51111130333142
650144053500
710365132636
oct2214560214
9707462020
10305324172
1114739062a
1286304290
134b3432ba
142c79ba56
151bc1164c
hex1232e08c

305324172 has 72 divisors (see below), whose sum is σ = 808813824. Its totient is φ = 96931296.

The previous prime is 305324147. The next prime is 305324221. The reversal of 305324172 is 271423503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233673 + ... + 234975.

Almost surely, 2305324172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305324172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404406912).

305324172 is an abundant number, since it is smaller than the sum of its proper divisors (503489652).

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

305324172 is a wasteful number, since it uses less digits than its factorization.

305324172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 305324172 is about 17473.5277491410. The cubic root of 305324172 is about 673.3699465980.

Adding to 305324172 its reverse (271423503), we get a palindrome (576747675).

It can be divided in two parts, 3053 and 24172, that added together give a square (27225 = 1652).

The spelling of 305324172 in words is "three hundred five million, three hundred twenty-four thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 283 414 566 828 849 1132 1303 1698 2547 2606 3396 3909 5094 5212 6509 7818 10188 11727 13018 15636 19527 23454 26036 29969 39054 46908 58581 59938 78108 89907 117162 119876 179814 234324 269721 359628 368749 539442 737498 1078884 1106247 1474996 2212494 3318741 4424988 6637482 8481227 13274964 16962454 25443681 33924908 50887362 76331043 101774724 152662086 305324172