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305326140 = 223573492083
BaseRepresentation
bin10010001100101…
…110100000111100
3210021112011201120
4102030232200330
51111130414030
650144110540
710365141450
oct2214564074
9707464646
10305326140
11147392059
1286305450
134b344172
142c79c660
151bc12010
hex1232e83c

305326140 has 96 divisors (see below), whose sum is σ = 980313600. Its totient is φ = 69555456.

The previous prime is 305326117. The next prime is 305326157. The reversal of 305326140 is 41623503.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 305326140.

It is a congruent number.

It is an unprimeable number.

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, 145539 + ... + 147621.

It is an arithmetic number, because the mean of its divisors is an integer number (10211600).

Almost surely, 2305326140 is an apocalyptic number.

305326140 is a gapful number since it is divisible by the number (30) 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 305326140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490156800).

305326140 is an abundant number, since it is smaller than the sum of its proper divisors (674987460).

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

305326140 is a wasteful number, since it uses less digits than its factorization.

305326140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 305326140 is about 17473.5840628075. The cubic root of 305326140 is about 673.3713933545.

Adding to 305326140 its reverse (41623503), we get a palindrome (346949643).

The spelling of 305326140 in words is "three hundred five million, three hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 349 420 698 1047 1396 1745 2083 2094 2443 3490 4166 4188 4886 5235 6249 6980 7329 8332 9772 10415 10470 12215 12498 14581 14658 20830 20940 24430 24996 29162 29316 31245 36645 41660 43743 48860 58324 62490 72905 73290 87486 124980 145810 146580 174972 218715 291620 437430 726967 874860 1453934 2180901 2907868 3634835 4361802 5088769 7269670 8723604 10177538 10904505 14539340 15266307 20355076 21809010 25443845 30532614 43618020 50887690 61065228 76331535 101775380 152663070 305326140