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343040132304 = 243217140130773
BaseRepresentation
bin1001111110111101100…
…10010000010011010000
31012210110001112021202100
410333132302100103100
521110021233213204
6421331312320400
733532566004542
oct4773662202320
91183401467670
10343040132304
11122534236781
1256597543100
132646b9a750c
14128633a1692
158dcb015a39
hex4fdec904d0

343040132304 has 60 divisors (see below), whose sum is σ = 1016508634596. Its totient is φ = 107620432896.

The previous prime is 343040132251. The next prime is 343040132311. The reversal of 343040132304 is 403231040343.

343040132304 is a `hidden beast` number, since 34 + 304 + 0 + 1 + 323 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157968092304 + 185072040000 = 397452^2 + 430200^2 .

It is a super-2 number, since 2×3430401323042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70062939 + ... + 70067834.

Almost surely, 2343040132304 is an apocalyptic number.

343040132304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

343040132304 is an abundant number, since it is smaller than the sum of its proper divisors (673468502292).

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

343040132304 is a wasteful number, since it uses less digits than its factorization.

343040132304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140130804 (or 140130795 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 343040132304 its reverse (403231040343), we get a palindrome (746271172647).

The spelling of 343040132304 in words is "three hundred forty-three billion, forty million, one hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 140130773 280261546 420392319 560523092 840784638 1121046184 1261176957 1681569276 2242092368 2382223141 2522353914 3363138552 4764446282 5044707828 6726277104 7146669423 9528892564 10089415656 14293338846 19057785128 20178831312 21440008269 28586677692 38115570256 42880016538 57173355384 85760033076 114346710768 171520066152 343040132304