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34273404 = 223211235371
BaseRepresentation
bin1000001010111…
…1100001111100
32101111021021100
42002233201330
532233222104
63222333100
7564214314
oct202574174
971437240
1034273404
111838a130
12b58a190
137140129
1447a2444
153020139
hex20af87c

34273404 has 144 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 9609600.

The previous prime is 34273357. The next prime is 34273409. The reversal of 34273404 is 40437243.

34273404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34273409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482689 + ... + 482759.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 234273404 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 34273404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

34273404 is an abundant number, since it is smaller than the sum of its proper divisors (67623300).

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

34273404 is a wasteful number, since it uses less digits than its factorization.

34273404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 34273404 is about 5854.3491525532. The cubic root of 34273404 is about 324.8272186133.

The spelling of 34273404 in words is "thirty-four million, two hundred seventy-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 53 66 69 71 92 99 106 132 138 142 159 198 207 212 213 253 276 284 318 396 414 426 477 506 583 636 639 759 781 828 852 954 1012 1166 1219 1278 1518 1562 1633 1749 1908 2277 2332 2343 2438 2556 3036 3124 3266 3498 3657 3763 4554 4686 4876 4899 5247 6532 6996 7029 7314 7526 9108 9372 9798 10494 10971 11289 13409 14058 14628 14697 15052 17963 19596 20988 21942 22578 26818 28116 29394 33867 35926 40227 41393 43884 45156 53636 53889 58788 67734 71852 80454 82786 86549 107778 120681 124179 135468 160908 161667 165572 173098 215556 241362 248358 259647 323334 346196 372537 482724 496716 519294 646668 745074 778941 952039 1038588 1490148 1557882 1904078 2856117 3115764 3808156 5712234 8568351 11424468 17136702 34273404