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305421324 = 223132323701
BaseRepresentation
bin10010001101000…
…101110000001100
3210021201000021220
4102031011300030
51111141440244
650150123340
710366016115
oct2215056014
9707630256
10305421324
1114744761a
1286350550
134b3785a0
142c7c520c
151bc30319
hex12345c0c

305421324 has 72 divisors (see below), whose sum is σ = 802504752. Its totient is φ = 89865600.

The previous prime is 305421317. The next prime is 305421329. The reversal of 305421324 is 423124503.

It is a junction number, because it is equal to n+sod(n) for n = 305421294 and 305421303.

It is not an unprimeable number, because it can be changed into a prime (305421329) by changing a digit.

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, 80674 + ... + 84374.

Almost surely, 2305421324 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 305421324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401252376).

305421324 is an abundant number, since it is smaller than the sum of its proper divisors (497083428).

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

305421324 is a wasteful number, since it uses less digits than its factorization.

305421324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 305421324 is about 17476.3075047334. The cubic root of 305421324 is about 673.4413595482.

Adding to 305421324 its reverse (423124503), we get a palindrome (728545827).

The spelling of 305421324 in words is "three hundred five million, four hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 529 598 897 1058 1196 1587 1794 2116 3174 3588 3701 6348 6877 7402 11103 13754 14804 20631 22206 27508 41262 44412 48113 82524 85123 96226 144339 170246 192452 255369 288678 340492 510738 577356 1021476 1106599 1957829 2213198 3319797 3915658 4426396 5873487 6639594 7831316 11746974 13279188 23493948 25451777 50903554 76355331 101807108 152710662 305421324