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34345535252 = 22731149265561
BaseRepresentation
bin11111111111001001…
…110100011100010100
310021122121011222002012
4133333021310130110
51030314424112002
623440024003352
72324054142560
oct377711643424
9107577158065
1034345535252
1113625182a86
1267a6300558
133314768732
14193b6266a0
15d603a4d52
hex7ff274714

34345535252 has 48 divisors (see below), whose sum is σ = 71383065600. Its totient is φ = 14149036800.

The previous prime is 34345535239. The next prime is 34345535267. The reversal of 34345535252 is 25253554343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3449 + ... + 262112.

It is an arithmetic number, because the mean of its divisors is an integer number (1487147200).

Almost surely, 234345535252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345535252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35691532800).

34345535252 is an abundant number, since it is smaller than the sum of its proper divisors (37037530348).

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

34345535252 is a wasteful number, since it uses less digits than its factorization.

34345535252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265752 (or 265750 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 41.

The spelling of 34345535252 in words is "thirty-four billion, three hundred forty-five million, five hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 62 124 149 217 298 434 596 868 1043 2086 4172 4619 9238 18476 32333 64666 129332 265561 531122 1062244 1858927 3717854 7435708 8232391 16464782 32929564 39568589 57626737 79137178 115253474 158274356 230506948 276980123 553960246 1107920492 1226626259 2453252518 4906505036 8586383813 17172767626 34345535252