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34540211322 = 2341571358033
BaseRepresentation
bin100000001010110000…
…011100110001111010
310022011011111112110000
4200022300130301322
51031214243230242
623511220333430
72331636644361
oct401260346172
9108134445400
1034540211322
1113715059aa1
12683b544276
133345baa686
1419594207d8
15d7250ba4c
hex80ac1cc7a

34540211322 has 40 divisors (see below), whose sum is σ = 77888682036. Its totient is φ = 11440061568.

The previous prime is 34540211317. The next prime is 34540211389. The reversal of 34540211322 is 22311204543.

34540211322 is a `hidden beast` number, since 3 + 4 + 540 + 2 + 113 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34070145561 + 470065761 = 184581^2 + 21681^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 653583 + ... + 704450.

Almost surely, 234540211322 is an apocalyptic number.

34540211322 is an abundant number, since it is smaller than the sum of its proper divisors (43348470714).

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

34540211322 is a wasteful number, since it uses less digits than its factorization.

34540211322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358204 (or 1358195 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34540211322 its reverse (22311204543), we get a palindrome (56851415865).

The spelling of 34540211322 in words is "thirty-four billion, five hundred forty million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 314 471 942 1413 2826 4239 8478 12717 25434 1358033 2716066 4074099 8148198 12222297 24444594 36666891 73333782 110000673 213211181 220001346 426422362 639633543 1279267086 1918900629 3837801258 5756701887 11513403774 17270105661 34540211322