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34984404 = 223271359181
BaseRepresentation
bin1000010101110…
…1000111010100
32102211101120200
42011131013110
532424000104
63245500500
7603235230
oct205350724
972741520
1034984404
1118825334
12b871730
13732b940
1449095c0
153110b39
hex215d1d4

34984404 has 144 divisors (see below), whose sum is σ = 111296640. Its totient is φ = 9020160.

The previous prime is 34984379. The next prime is 34984409. The reversal of 34984404 is 40448943.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34984409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193194 + ... + 193374.

Almost surely, 234984404 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 34984404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55648320).

34984404 is an abundant number, since it is smaller than the sum of its proper divisors (76312236).

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

34984404 is a wasteful number, since it uses less digits than its factorization.

34984404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34984404 is about 5914.7615336546. The cubic root of 34984404 is about 327.0580375621.

The spelling of 34984404 in words is "thirty-four million, nine hundred eighty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 181 182 234 236 252 273 354 362 364 413 468 531 543 546 708 724 767 819 826 1062 1086 1092 1239 1267 1534 1629 1638 1652 2124 2172 2301 2353 2478 2534 3068 3258 3276 3717 3801 4602 4706 4956 5068 5369 6516 6903 7059 7434 7602 9204 9412 10679 10738 11403 13806 14118 14868 15204 16107 16471 21177 21358 21476 22806 27612 28236 32037 32214 32942 42354 42716 45612 48321 49413 64074 64428 65884 74753 84708 96111 96642 98826 128148 138827 148239 149506 192222 193284 197652 224259 277654 296478 299012 384444 416481 448518 555308 592956 672777 832962 897036 971789 1249443 1345554 1665924 1943578 2498886 2691108 2915367 3887156 4997772 5830734 8746101 11661468 17492202 34984404