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34564341405 = 35113153592161
BaseRepresentation
bin100000001100001100…
…011111111010011101
310022012211220110200210
4200030030133322131
51031241432411110
623513441443033
72332352024436
oct401414377235
9108184813623
1034564341405
1113727740310
126847640479
13334aba8929
14195c70248d
15d746c6520
hex80c31fe9d

34564341405 has 128 divisors (see below), whose sum is σ = 64556974080. Its totient is φ = 15634944000.

The previous prime is 34564341403. The next prime is 34564341421. The reversal of 34564341405 is 50414346543.

34564341405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34564341405 - 21 = 34564341403 is a prime.

It is a super-2 number, since 2×345643414052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34564341403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15993525 + ... + 15995685.

It is an arithmetic number, because the mean of its divisors is an integer number (504351360).

Almost surely, 234564341405 is an apocalyptic number.

It is an amenable number.

34564341405 is a deficient number, since it is larger than the sum of its proper divisors (29992632675).

34564341405 is a wasteful number, since it uses less digits than its factorization.

34564341405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 34564341405 its reverse (50414346543), we get a palindrome (84978687948).

The spelling of 34564341405 in words is "thirty-four billion, five hundred sixty-four million, three hundred forty-one thousand, four hundred five".

Divisors: 1 3 5 11 15 31 33 53 55 59 93 155 159 165 177 265 295 341 465 583 649 795 885 1023 1643 1705 1749 1829 1947 2161 2915 3127 3245 4929 5115 5487 6483 8215 8745 9145 9381 9735 10805 15635 18073 20119 23771 24645 27435 32415 34397 46905 54219 60357 66991 71313 90365 96937 100595 103191 114533 118855 127499 171985 200973 271095 290811 301785 334955 343599 356565 382497 484685 515955 572665 637495 736901 1004865 1066307 1259863 1402489 1454055 1717995 1912485 2210703 3198921 3550523 3684505 3779589 3952469 4207467 5331535 6299315 6757447 7012445 10651569 11053515 11857407 15994605 17752615 18897945 19762345 20272341 21037335 33787235 39055753 43477159 53257845 59287035 74331917 101361705 117167259 130431477 195278765 209480857 217385795 222995751 371659585 585836295 628442571 652157385 1047404285 1114978755 2304289427 3142212855 6912868281 11521447135 34564341405