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34250164452 = 223272171142129
BaseRepresentation
bin11111111001011110…
…000000100011100100
310021101221201121221100
4133321132000203210
51030121020230302
623422335520100
72321515410600
oct377136004344
9107357647840
1034250164452
1113586363539
12677a389030
1332caa85cca
14192cabc500
15d56d16d1c
hex7f97808e4

34250164452 has 108 divisors (see below), whose sum is σ = 106636109580. Its totient is φ = 9210120192.

The previous prime is 34250164451. The next prime is 34250164457. The reversal of 34250164452 is 25446105243.

34250164452 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 0 + 1 + 644 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23154491556 + 11095672896 = 152166^2 + 105336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34250164451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541077 + ... + 601052.

It is an arithmetic number, because the mean of its divisors is an integer number (987371385).

Almost surely, 234250164452 is an apocalyptic number.

It is an amenable number.

34250164452 is an abundant number, since it is smaller than the sum of its proper divisors (72385945128).

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

34250164452 is a wasteful number, since it uses less digits than its factorization.

34250164452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142170 (or 1142158 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 34250164452 its reverse (25446105243), we get a palindrome (59696269695).

The spelling of 34250164452 in words is "thirty-four billion, two hundred fifty million, one hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4284 4998 7497 9996 14994 29988 1142129 2284258 3426387 4568516 6852774 7994903 10279161 13705548 15989806 19416193 20558322 23984709 31979612 38832386 41116644 47969418 55964321 58248579 71954127 77664772 95938836 111928642 116497158 135913351 143908254 167892963 174745737 223857284 232994316 271826702 287816508 335785926 349491474 407740053 503678889 543653404 671571852 698982948 815480106 951393457 1007357778 1223220159 1630960212 1902786914 2014715556 2446440318 2854180371 3805573828 4892880636 5708360742 8562541113 11416721484 17125082226 34250164452