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34285460 = 225111011543
BaseRepresentation
bin1000001011001…
…0011110010100
32101111212210212
42002302132110
532234113320
63222504552
7564264416
oct202623624
971455725
1034285460
11183981a0
12b595158
137145771
1447a69b6
1530239c5
hex20b2794

34285460 has 48 divisors (see below), whose sum is σ = 79373952. Its totient is φ = 12336000.

The previous prime is 34285439. The next prime is 34285463. The reversal of 34285460 is 6458243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34285463) 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, 21449 + ... + 22991.

It is an arithmetic number, because the mean of its divisors is an integer number (1653624).

Almost surely, 234285460 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 34285460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39686976).

34285460 is an abundant number, since it is smaller than the sum of its proper divisors (45088492).

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

34285460 is a wasteful number, since it uses less digits than its factorization.

34285460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 34285460 is about 5855.3787238743. The cubic root of 34285460 is about 324.8653011827.

It can be divided in two parts, 3428 and 5460, that added together give a palindrome (8888).

The spelling of 34285460 in words is "thirty-four million, two hundred eighty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1543 2020 2222 3086 4444 5555 6172 7715 11110 15430 16973 22220 30860 33946 67892 84865 155843 169730 311686 339460 623372 779215 1558430 1714273 3116860 3428546 6857092 8571365 17142730 34285460