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34969500 = 22325319409
BaseRepresentation
bin1000010101100…
…1011110011100
32102210122010200
42011121132130
532423011000
63245303500
7603143616
oct205313634
972718120
1034969500
1118815115
12b864b90
137324c17
144903db6
15310b500
hex215979c

34969500 has 144 divisors (see below), whose sum is σ = 116407200. Its totient is φ = 8812800.

The previous prime is 34969483. The next prime is 34969507. The reversal of 34969500 is 596943.

34969500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (34969507) 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, 85296 + ... + 85704.

Almost surely, 234969500 is an apocalyptic number.

34969500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34969500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58203600).

34969500 is an abundant number, since it is smaller than the sum of its proper divisors (81437700).

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

34969500 is a wasteful number, since it uses less digits than its factorization.

34969500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 34969500 is about 5913.5015008031. The cubic root of 34969500 is about 327.0115867173.

It can be divided in two parts, 3496 and 9500, that added together give a square (12996 = 1142).

The spelling of 34969500 in words is "thirty-four million, nine hundred sixty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 75 76 90 95 100 114 125 150 171 180 190 225 228 250 285 300 342 375 380 409 450 475 500 570 684 750 818 855 900 950 1125 1140 1227 1425 1500 1636 1710 1900 2045 2250 2375 2454 2850 3420 3681 4090 4275 4500 4750 4908 5700 6135 7125 7362 7771 8180 8550 9500 10225 12270 14250 14724 15542 17100 18405 20450 21375 23313 24540 28500 30675 31084 36810 38855 40900 42750 46626 51125 61350 69939 73620 77710 85500 92025 93252 102250 116565 122700 139878 153375 155420 184050 194275 204500 233130 279756 306750 349695 368100 388550 460125 466260 582825 613500 699390 777100 920250 971375 1165650 1398780 1748475 1840500 1942750 2331300 2914125 3496950 3885500 5828250 6993900 8742375 11656500 17484750 34969500