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34321000 = 235374903
BaseRepresentation
bin1000001011101…
…1001001101000
32101120200120011
42002323021220
532241233000
63223341304
7564503140
oct202731150
971520504
1034321000
111841196a
12b5b1834
1371589ac
1447b5920
15302e2ba
hex20bb268

34321000 has 64 divisors (see below), whose sum is σ = 91802880. Its totient is φ = 11764800.

The previous prime is 34320983. The next prime is 34321003. The reversal of 34321000 is 12343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4549 + ... + 9451.

It is an arithmetic number, because the mean of its divisors is an integer number (1434420).

Almost surely, 234321000 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 34321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45901440).

34321000 is an abundant number, since it is smaller than the sum of its proper divisors (57481880).

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

34321000 is a wasteful number, since it uses less digits than its factorization.

34321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 34321000 is about 5858.4127543218. The cubic root of 34321000 is about 324.9775132371.

Adding to 34321000 its reverse (12343), we get a palindrome (34333343).

The spelling of 34321000 in words is "thirty-four million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 4903 7000 9806 19612 24515 34321 39224 49030 68642 98060 122575 137284 171605 196120 245150 274568 343210 490300 612875 686420 858025 980600 1225750 1372840 1716050 2451500 3432100 4290125 4903000 6864200 8580250 17160500 34321000