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234343440400 = 24522772115013
BaseRepresentation
bin1101101000111111110…
…1010010000000010000
3211101212210112012222111
43122033331102000100
512314413410043100
6255353401115104
722634151243256
oct3321775220020
9741783465874
10234343440400
11904258432a3
1239501188a94
1319138503244
14b4b13205d6
1561685636ba
hex368ff52010

234343440400 has 60 divisors (see below), whose sum is σ = 565042910212. Its totient is φ = 93398929920.

The previous prime is 234343440361. The next prime is 234343440413. The reversal of 234343440400 is 4044343432.

It can be written as a sum of positive squares in 6 ways, for example, as 23416344576 + 210927095824 = 153024^2 + 459268^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 946707 + ... + 1168306.

Almost surely, 2234343440400 is an apocalyptic number.

234343440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234343440400 is an abundant number, since it is smaller than the sum of its proper divisors (330699469812).

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

234343440400 is a wasteful number, since it uses less digits than its factorization.

234343440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115308 (or 2115297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 234343440400 its reverse (4044343432), we get a palindrome (238387783832).

The spelling of 234343440400 in words is "two hundred thirty-four billion, three hundred forty-three million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 277 400 554 1108 1385 2216 2770 4432 5540 6925 11080 13850 22160 27700 55400 110800 2115013 4230026 8460052 10575065 16920104 21150130 33840208 42300260 52875325 84600520 105750650 169201040 211501300 423002600 585858601 846005200 1171717202 2343434404 2929293005 4686868808 5858586010 9373737616 11717172020 14646465025 23434344040 29292930050 46868688080 58585860100 117171720200 234343440400