Search a number
-
+
304034100 = 223524872081
BaseRepresentation
bin10010000111110…
…011000100110100
3210012002112101020
4102013303010310
51110313042400
650100301140
710351150536
oct2207630464
9705075336
10304034100
1114668a357
12859a17b0
134acb1046
142c543856
151ba592a0
hex121f3134

304034100 has 72 divisors (see below), whose sum is σ = 881901888. Its totient is φ = 80870400.

The previous prime is 304034083. The next prime is 304034149. The reversal of 304034100 is 1430403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 304034100.

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 23 ways as a sum of consecutive naturals, for example, 145060 + ... + 147140.

Almost surely, 2304034100 is an apocalyptic number.

304034100 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 304034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440950944).

304034100 is an abundant number, since it is smaller than the sum of its proper divisors (577867788).

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

304034100 is a wasteful number, since it uses less digits than its factorization.

304034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2585 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 304034100 is about 17436.5736313073. The cubic root of 304034100 is about 672.4202215078.

Adding to 304034100 its reverse (1430403), we get a palindrome (305464503).

The spelling of 304034100 in words is "three hundred four million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 487 974 1461 1948 2081 2435 2922 4162 4870 5844 6243 7305 8324 9740 10405 12175 12486 14610 20810 24350 24972 29220 31215 36525 41620 48700 52025 62430 73050 104050 124860 146100 156075 208100 312150 624300 1013447 2026894 3040341 4053788 5067235 6080682 10134470 12161364 15201705 20268940 25336175 30403410 50672350 60806820 76008525 101344700 152017050 304034100