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304412400100 = 225264712493767
BaseRepresentation
bin1000110111000000110…
…01001001100111100100
31002002202000122011210001
410123200121021213210
514441414033300400
6351502314111044
730664423464514
oct4334031114744
91062660564701
10304412400100
11108111955856
124abb711b484
1322924013a43
1410a3b167844
157db9c46a6a
hex46e06499e4

304412400100 has 72 divisors (see below), whose sum is σ = 662301360000. Its totient is φ = 121447173120.

The previous prime is 304412400067. The next prime is 304412400109. The reversal of 304412400100 is 1004214403.

It is not an unprimeable number, because it can be changed into a prime (304412400109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80808417 + ... + 80812183.

It is an arithmetic number, because the mean of its divisors is an integer number (9198630000).

Almost surely, 2304412400100 is an apocalyptic number.

It is an amenable number.

304412400100 is an abundant number, since it is smaller than the sum of its proper divisors (357888959900).

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

304412400100 is a wasteful number, since it uses less digits than its factorization.

304412400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 304412400100 its reverse (1004214403), we get a palindrome (305416614503).

The spelling of 304412400100 in words is "three hundred four billion, four hundred twelve million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 647 1249 1294 2498 2588 3235 3767 4996 6245 6470 7534 12490 12940 15068 16175 18835 24980 31225 32350 37670 62450 64700 75340 94175 124900 188350 376700 808103 1616206 2437249 3232412 4040515 4704983 4874498 8081030 9409966 9748996 12186245 16162060 18819932 20202575 23524915 24372490 40405150 47049830 48744980 60931225 80810300 94099660 117624575 121862450 235249150 243724900 470498300 3044124001 6088248002 12176496004 15220620005 30441240010 60882480020 76103100025 152206200050 304412400100