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305124420 = 223519214087
BaseRepresentation
bin10010001011111…
…101010001000100
3210021010221000110
4102023331101010
51111102440140
650135513020
710363341366
oct2213752104
9707127013
10305124420
11147264547
1286228770
134b2a33c3
142c748d36
151bbc2380
hex122fd444

305124420 has 72 divisors (see below), whose sum is σ = 901744704. Its totient is φ = 77078592.

The previous prime is 305124403. The next prime is 305124473. The reversal of 305124420 is 24421503.

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, 14617 + ... + 28703.

It is an arithmetic number, because the mean of its divisors is an integer number (12524232).

Almost surely, 2305124420 is an apocalyptic number.

305124420 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 305124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450872352).

305124420 is an abundant number, since it is smaller than the sum of its proper divisors (596620284).

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

305124420 is a wasteful number, since it uses less digits than its factorization.

305124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14137 (or 14116 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 305124420 is about 17467.8109676055. The cubic root of 305124420 is about 673.2230684606.

Adding to 305124420 its reverse (24421503), we get a palindrome (329545923).

The spelling of 305124420 in words is "three hundred five million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 14087 21660 28174 42261 56348 70435 84522 140870 169044 211305 267653 281740 422610 535306 802959 845220 1070612 1338265 1605918 2676530 3211836 4014795 5085407 5353060 8029590 10170814 15256221 16059180 20341628 25427035 30512442 50854070 61024884 76281105 101708140 152562210 305124420