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34210404 = 22331731831
BaseRepresentation
bin1000001010000…
…0001001100100
32101101001212000
42002200021210
532224213104
63221125300
7563532534
oct202401144
971331760
1034210404
1118346868
12b559830
13711a557
1447874c4
15300b639
hex20a0264

34210404 has 48 divisors (see below), whose sum is σ = 89255040. Its totient is φ = 11331360.

The previous prime is 34210403. The next prime is 34210433. The reversal of 34210404 is 40401243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34210403) 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, 17769 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (1859480).

Almost surely, 234210404 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 34210404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44627520).

34210404 is an abundant number, since it is smaller than the sum of its proper divisors (55044636).

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

34210404 is a wasteful number, since it uses less digits than its factorization.

34210404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34210404 is about 5848.9660624763. The cubic root of 34210404 is about 324.6280684076.

Adding to 34210404 its reverse (40401243), we get a palindrome (74611647).

The spelling of 34210404 in words is "thirty-four million, two hundred ten thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 1831 2076 3114 3662 4671 5493 6228 7324 9342 10986 16479 18684 21972 32958 49437 65916 98874 197748 316763 633526 950289 1267052 1900578 2850867 3801156 5701734 8552601 11403468 17105202 34210404