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34243000 = 2353112283
BaseRepresentation
bin1000001010100…
…0000110111000
32101102201120021
42002220012320
532231234000
63221540224
7564026551
oct202500670
971381507
1034243000
1118369300
12b574674
13712c33c
144795328
15301611a
hex20a81b8

34243000 has 96 divisors (see below), whose sum is σ = 88386480. Its totient is φ = 12408000.

The previous prime is 34242983. The next prime is 34243009. The reversal of 34243000 is 34243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120859 + ... + 121141.

Almost surely, 234243000 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 34243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44193240).

34243000 is an abundant number, since it is smaller than the sum of its proper divisors (54143480).

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

34243000 is a wasteful number, since it uses less digits than its factorization.

34243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 34243000 is about 5851.7518744390. The cubic root of 34243000 is about 324.7311385882.

Adding to 34243000 its reverse (34243), we get a palindrome (34277243).

34243000 divided by its reverse (34243) gives a cube (1000 = 103).

The spelling of 34243000 in words is "thirty-four million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 283 440 484 500 550 566 605 968 1000 1100 1132 1210 1375 1415 2200 2264 2420 2750 2830 3025 3113 4840 5500 5660 6050 6226 7075 11000 11320 12100 12452 14150 15125 15565 24200 24904 28300 30250 31130 34243 35375 56600 60500 62260 68486 70750 77825 121000 124520 136972 141500 155650 171215 273944 283000 311300 342430 389125 622600 684860 778250 856075 1369720 1556500 1712150 3113000 3424300 4280375 6848600 8560750 17121500 34243000