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34008258872 = 2371747760063
BaseRepresentation
bin11111101011000011…
…001101100100111000
310020210002112112212102
4133223003031210320
51024122103240442
623342335002532
72312520300530
oct375303154470
9106702475772
1034008258872
1113471859275
126711369448
13328c918a03
14190890c4c0
15d40981232
hex7eb0cd938

34008258872 has 64 divisors (see below), whose sum is σ = 78803435520. Its totient is φ = 13425735168.

The previous prime is 34008258857. The next prime is 34008258877. The reversal of 34008258872 is 27885280043.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34008258877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335288 + ... + 424775.

It is an arithmetic number, because the mean of its divisors is an integer number (1231303680).

Almost surely, 234008258872 is an apocalyptic number.

It is an amenable number.

34008258872 is an abundant number, since it is smaller than the sum of its proper divisors (44795176648).

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

34008258872 is a wasteful number, since it uses less digits than its factorization.

34008258872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760140 (or 760136 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 34008258872 in words is "thirty-four billion, eight million, two hundred fifty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 476 658 799 952 1316 1598 2632 3196 5593 6392 11186 22372 44744 760063 1520126 3040252 5320441 6080504 10640882 12921071 21281764 25842142 35722961 42563528 51684284 71445922 90447497 103368568 142891844 180894994 250060727 285783688 361789988 500121454 607290337 723579976 1000242908 1214580674 2000485816 2429161348 4251032359 4858322696 8502064718 17004129436 34008258872