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34343000 = 235361563
BaseRepresentation
bin1000001100000…
…0100001011000
32101121210201222
42003000201120
532242434000
63224031212
7564624236
oct203004130
971553658
1034343000
111842744a
12b602508
137165a03
1447bd956
153035a85
hex20c0858

34343000 has 64 divisors (see below), whose sum is σ = 81825120. Its totient is φ = 13488000.

The previous prime is 34342991. The next prime is 34343003. The reversal of 34343000 is 34343.

It is a self number, because there is not a number n which added to its sum of digits gives 34343000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60719 + ... + 61281.

Almost surely, 234343000 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 34343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40912560).

34343000 is an abundant number, since it is smaller than the sum of its proper divisors (47482120).

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

34343000 is a wasteful number, since it uses less digits than its factorization.

34343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 34343000 is about 5860.2900952086. The cubic root of 34343000 is about 325.0469360220.

Adding to 34343000 its reverse (34343), we get a palindrome (34377343).

34343000 divided by its reverse (34343) gives a cube (1000 = 103).

The spelling of 34343000 in words is "thirty-four million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 563 610 1000 1126 1220 1525 2252 2440 2815 3050 4504 5630 6100 7625 11260 12200 14075 15250 22520 28150 30500 34343 56300 61000 68686 70375 112600 137372 140750 171715 274744 281500 343430 563000 686860 858575 1373720 1717150 3434300 4292875 6868600 8585750 17171500 34343000