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34342500 = 2235419241
BaseRepresentation
bin1000001100000…
…0011001100100
32101121210001110
42003000121210
532242430000
63224025020
7564622623
oct203003144
971553043
1034342500
1118427035
12b602170
13716570a
1447bd6ba
153035850
hex20c0664

34342500 has 120 divisors (see below), whose sum is σ = 105841120. Its totient is φ = 8640000.

The previous prime is 34342493. The next prime is 34342501. The reversal of 34342500 is 524343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34342501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142380 + ... + 142620.

Almost surely, 234342500 is an apocalyptic number.

34342500 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 34342500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920560).

34342500 is an abundant number, since it is smaller than the sum of its proper divisors (71498620).

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

34342500 is a wasteful number, since it uses less digits than its factorization.

34342500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34342500 is about 5860.2474350491. The cubic root of 34342500 is about 325.0453585608.

Adding to 34342500 its reverse (524343), we get a palindrome (34866843).

The spelling of 34342500 in words is "thirty-four million, three hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 241 250 285 300 375 380 475 482 500 570 625 723 750 950 964 1140 1205 1250 1425 1446 1500 1875 1900 2375 2410 2500 2850 2892 3615 3750 4579 4750 4820 5700 6025 7125 7230 7500 9158 9500 11875 12050 13737 14250 14460 18075 18316 22895 23750 24100 27474 28500 30125 35625 36150 45790 47500 54948 60250 68685 71250 72300 90375 91580 114475 120500 137370 142500 150625 180750 228950 274740 301250 343425 361500 451875 457900 572375 602500 686850 903750 1144750 1373700 1717125 1807500 2289500 2861875 3434250 5723750 6868500 8585625 11447500 17171250 34342500