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34490200 = 2352331521
BaseRepresentation
bin1000001110010…
…0011101011000
32101220021122211
42003210131120
532312141300
63231124504
7566106343
oct203443530
971807584
1034490200
1118517aa8
12b673734
1371b7a04
14481b45a
1530644ba
hex20e4758

34490200 has 48 divisors (see below), whose sum is σ = 80586360. Its totient is φ = 13728000.

The previous prime is 34490189. The next prime is 34490201. The reversal of 34490200 is 209443.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34490201) 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 11 ways as a sum of consecutive naturals, for example, 65940 + ... + 66460.

Almost surely, 234490200 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 34490200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40293180).

34490200 is an abundant number, since it is smaller than the sum of its proper divisors (46096160).

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

34490200 is a wasteful number, since it uses less digits than its factorization.

34490200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 34490200 is about 5872.8357715843. The cubic root of 34490200 is about 325.5106764376.

Adding to 34490200 its reverse (209443), we get a palindrome (34699643).

The spelling of 34490200 in words is "thirty-four million, four hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 331 521 662 1042 1324 1655 2084 2605 2648 3310 4168 5210 6620 8275 10420 13025 13240 16550 20840 26050 33100 52100 66200 104200 172451 344902 689804 862255 1379608 1724510 3449020 4311275 6898040 8622550 17245100 34490200