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34343154045 = 3257173229643
BaseRepresentation
bin11111111111000000…
…101111000101111101
310021122102200222200100
4133333000233011331
51030313321412140
623435500551313
72324024664354
oct377700570575
9107572628610
1034343154045
11136238a6a42
1267a5552539
133314113935
14193b1a699b
15d60084530
hex7ff02f17d

34343154045 has 96 divisors (see below), whose sum is σ = 61556302080. Its totient is φ = 17705640960.

The previous prime is 34343154019. The next prime is 34343154077. The reversal of 34343154045 is 54045134343.

34343154045 is a `hidden beast` number, since 3 + 43 + 4 + 31 + 540 + 45 = 666.

It is not a de Polignac number, because 34343154045 - 212 = 34343149949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53410494 + ... + 53411136.

It is an arithmetic number, because the mean of its divisors is an integer number (641211480).

Almost surely, 234343154045 is an apocalyptic number.

It is an amenable number.

34343154045 is a deficient number, since it is larger than the sum of its proper divisors (27213148035).

34343154045 is a wasteful number, since it uses less digits than its factorization.

34343154045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 34343154045 its reverse (54045134343), we get a palindrome (88388288388).

The spelling of 34343154045 in words is "thirty-four billion, three hundred forty-three million, one hundred fifty-four thousand, forty-five".

Divisors: 1 3 5 9 15 45 71 73 213 219 229 355 365 639 643 657 687 1065 1095 1145 1929 2061 3195 3215 3285 3435 5183 5787 9645 10305 15549 16259 16717 25915 28935 45653 46647 46939 48777 50151 77745 81295 83585 136959 140817 146331 147247 150453 228265 233235 234695 243885 250755 410877 422451 441741 684795 704085 731655 736235 752265 1186907 1325223 2054385 2112255 2208705 3332669 3560721 5934535 6626115 9998007 10454537 10682163 10749031 16663345 17803605 29994021 31363611 32247093 49990035 52272685 53410815 53745155 94090833 96741279 149970105 156818055 161235465 470454165 483706395 763181201 2289543603 3815906005 6868630809 11447718015 34343154045