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345433334544 = 24322795385817
BaseRepresentation
bin1010000011011010110…
…11100110001100010000
31020000121211202120001100
411001231123212030100
521124421413201134
6422405003104400
733646105616544
oct5015533461420
91200554676040
10345433334544
11123552125a71
1256b44b12100
132676075300c
1412a0d171a24
158ebb197999
hex506d6e6310

345433334544 has 60 divisors (see below), whose sum is σ = 966779417916. Its totient is φ = 115138983936.

The previous prime is 345433334531. The next prime is 345433334557. The reversal of 345433334544 is 445433334543.

345433334544 is a `hidden beast` number, since 3 + 4 + 5 + 43 + 33 + 34 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (345433334531) and next prime (345433334557).

It can be written as a sum of positive squares in 2 ways, for example, as 278720643600 + 66712690944 = 527940^2 + 258288^2 .

It is a super-2 number, since 2×3454333345442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345433334544.

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, 3982324 + ... + 4068140.

Almost surely, 2345433334544 is an apocalyptic number.

It is an amenable number.

345433334544 is an abundant number, since it is smaller than the sum of its proper divisors (621346083372).

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

345433334544 is a wasteful number, since it uses less digits than its factorization.

345433334544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113784 (or 113775 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 45.

Subtracting 345433334544 from its reverse (445433334543), we obtain a palindrome (99999999999).

The spelling of 345433334544 in words is "three hundred forty-five billion, four hundred thirty-three million, three hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27953 55906 83859 85817 111812 167718 171634 223624 251577 257451 335436 343268 447248 503154 514902 670872 686536 772353 1006308 1029804 1341744 1373072 1544706 2012616 2059608 3089412 4025232 4119216 6178824 12357648 2398842601 4797685202 7196527803 9595370404 14393055606 19190740808 21589583409 28786111212 38381481616 43179166818 57572222424 86358333636 115144444848 172716667272 345433334544