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34345503522 = 23411137140683
BaseRepresentation
bin11111111111001001…
…101100101100100010
310021122121010100120000
4133333021230230202
51030314422103042
623440023200430
72324053651221
oct377711545442
9107577110500
1034345503522
1113625161160
1267a62a6116
133314757165
14193b618cb8
15d6039a74c
hex7ff26cb22

34345503522 has 80 divisors (see below), whose sum is σ = 84569091552. Its totient is φ = 10331686080.

The previous prime is 34345503509. The next prime is 34345503523. The reversal of 34345503522 is 22530554343.

34345503522 is a `hidden beast` number, since 3 + 43 + 45 + 50 + 3 + 522 = 666.

It is a super-2 number, since 2×343455035222 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34345503523) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173793 + ... + 314475.

Almost surely, 234345503522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345503522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42284545776).

34345503522 is an abundant number, since it is smaller than the sum of its proper divisors (50223588030).

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

34345503522 is a wasteful number, since it uses less digits than its factorization.

34345503522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140845 (or 140836 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 34345503522 in words is "thirty-four billion, three hundred forty-five million, five hundred three thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 137 162 198 274 297 411 594 822 891 1233 1507 1782 2466 3014 3699 4521 7398 9042 11097 13563 22194 27126 40689 81378 122067 140683 244134 281366 422049 844098 1266147 1547513 2532294 3095026 3798441 4642539 7596882 9285078 11395323 13927617 19273571 22790646 27855234 38547142 41782851 57820713 83565702 115641426 125348553 173462139 212009281 250697106 346924278 424018562 520386417 636027843 1040772834 1272055686 1561159251 1908083529 3122318502 3816167058 5724250587 11448501174 17172751761 34345503522