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34350350244 = 22372299072221
BaseRepresentation
bin11111111111011100…
…001011111110100100
310021122221020121000020
4133333130023332210
51030322142201434
623440315115140
72324143105500
oct377734137644
9107587217006
1034350350244
1113627971611
1267a7a42ab0
133315763242
14193c11b300
15d60a06849
hex7ff70bfa4

34350350244 has 144 divisors (see below), whose sum is σ = 96601538880. Its totient is φ = 9461249280.

The previous prime is 34350350219. The next prime is 34350350291. The reversal of 34350350244 is 44205305343.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15465054 + ... + 15467274.

It is an arithmetic number, because the mean of its divisors is an integer number (670844020).

Almost surely, 234350350244 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 34350350244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48300769440).

34350350244 is an abundant number, since it is smaller than the sum of its proper divisors (62251188636).

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

34350350244 is a wasteful number, since it uses less digits than its factorization.

34350350244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 34350350244 its reverse (44205305343), we get a palindrome (78555655587).

The spelling of 34350350244 in words is "thirty-four billion, three hundred fifty million, three hundred fifty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 907 1218 1421 1814 2221 2436 2721 2842 3628 4263 4442 5442 5684 6349 6663 8526 8884 10884 12698 13326 15547 17052 19047 25396 26303 26652 31094 38094 44443 46641 52606 62188 64409 76188 78909 88886 93282 105212 108829 128818 133329 157818 177772 184121 186564 193227 217658 257636 266658 315636 326487 368242 386454 435316 450863 533316 552363 652974 736484 772908 901726 1104726 1288847 1305948 1352589 1803452 2014447 2209452 2577694 2705178 3156041 3866541 4028894 5155388 5410356 6043341 6312082 7733082 8057788 9468123 12086682 12624164 14101129 15466164 18936246 24173364 28202258 37872492 42303387 56404516 58418963 84606774 98707903 116837926 169213548 175256889 197415806 233675852 296123709 350513778 394831612 408932741 592247418 701027556 817865482 1184494836 1226798223 1635730964 2453596446 2862529187 4907192892 5725058374 8587587561 11450116748 17175175122 34350350244