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34033312404 = 22337213494699
BaseRepresentation
bin11111101100100010…
…110010001010010100
310020211211200101212000
4133230202302022110
51024200011444104
623345031555300
72313243245100
oct375442621224
9106754611760
1034033312404
1113484a10373
12671982bb30
133294b7b3a0
14190bd90900
15d42c7e639
hex7ec8b2294

34033312404 has 144 divisors (see below), whose sum is σ = 110535768000. Its totient is φ = 8975800512.

The previous prime is 34033312403. The next prime is 34033312421. The reversal of 34033312404 is 40421333043.

34033312404 is a `hidden beast` number, since 340 + 3 + 3 + 312 + 4 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033312403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178554 + ... + 316145.

It is an arithmetic number, because the mean of its divisors is an integer number (767609500).

Almost surely, 234033312404 is an apocalyptic number.

It is an amenable number.

34033312404 is an abundant number, since it is smaller than the sum of its proper divisors (76502455596).

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

34033312404 is a wasteful number, since it uses less digits than its factorization.

34033312404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494739 (or 494724 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34033312404 its reverse (40421333043), we get a palindrome (74454645447).

The spelling of 34033312404 in words is "thirty-four billion, thirty-three million, three hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3276 3822 4914 5292 5733 7644 9828 11466 17199 22932 34398 68796 494699 989398 1484097 1978796 2968194 3462893 4452291 5936388 6431087 6925786 8904582 10388679 12862174 13356873 13851572 17809164 19293261 20777358 24240251 25724348 26713746 31166037 38586522 41554716 45017609 48480502 53427492 57879783 62332074 72720753 77173044 90035218 93498111 96961004 115759566 124664148 135052827 145441506 173639349 180070436 186996222 218162259 231519132 270105654 290883012 315123263 347278698 373992444 405158481 436324518 540211308 630246526 654486777 694557396 810316962 872649036 945369789 1215475443 1260493052 1308973554 1620633924 1890739578 2430950886 2617947108 2836109367 3781479156 4861901772 5672218734 8508328101 11344437468 17016656202 34033312404