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34323000 = 2335317673
BaseRepresentation
bin1000001011101…
…1101000111000
32101120210022020
42002323220320
532241314000
63223354440
7564512025
oct202735070
971523266
1034323000
1118413418
12b5b2a20
13715988a
1447b654c
15302eba0
hex20bba38

34323000 has 128 divisors (see below), whose sum is σ = 113555520. Its totient is φ = 8601600.

The previous prime is 34322989. The next prime is 34323001. The reversal of 34323000 is 32343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34323001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50664 + ... + 51336.

Almost surely, 234323000 is an apocalyptic number.

34323000 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 34323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56777760).

34323000 is an abundant number, since it is smaller than the sum of its proper divisors (79232520).

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

34323000 is a wasteful number, since it uses less digits than its factorization.

34323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 34323000 is about 5858.5834465338. The cubic root of 34323000 is about 324.9838256250.

Adding to 34323000 its reverse (32343), we get a palindrome (34355343).

The spelling of 34323000 in words is "thirty-four million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 673 680 750 850 1000 1020 1275 1346 1500 1700 2019 2040 2125 2550 2692 3000 3365 3400 4038 4250 5100 5384 6375 6730 8076 8500 10095 10200 11441 12750 13460 16152 16825 17000 20190 22882 25500 26920 33650 34323 40380 45764 50475 51000 57205 67300 68646 80760 84125 91528 100950 114410 134600 137292 168250 171615 201900 228820 252375 274584 286025 336500 343230 403800 457640 504750 572050 673000 686460 858075 1009500 1144100 1372920 1430125 1716150 2019000 2288200 2860250 3432300 4290375 5720500 6864600 8580750 11441000 17161500 34323000