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34490000 = 24543449
BaseRepresentation
bin1000001110010…
…0011010010000
32101220021101102
42003210122100
532312140000
63231123532
7566105636
oct203443220
971807342
1034490000
1118517936
12b6735a8
1371b78ac
14481b356
1530643d5
hex20e4690

34490000 has 50 divisors (see below), whose sum is σ = 83527950. Its totient is φ = 13792000.

The previous prime is 34489969. The next prime is 34490021. The reversal of 34490000 is 9443.

It can be written as a sum of positive squares in 5 ways, for example, as 25441936 + 9048064 = 5044^2 + 3008^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8276 + ... + 11724.

It is an arithmetic number, because the mean of its divisors is an integer number (1670559).

Almost surely, 234490000 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 34490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41763975).

34490000 is an abundant number, since it is smaller than the sum of its proper divisors (49037950).

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

34490000 is an equidigital number, since it uses as much as digits as its factorization.

34490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 34490000 is about 5872.8187440104. The cubic root of 34490000 is about 325.5100472515.

Adding to 34490000 its reverse (9443), we get a palindrome (34499443).

The spelling of 34490000 in words is "thirty-four million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3449 5000 6898 10000 13796 17245 27592 34490 55184 68980 86225 137960 172450 275920 344900 431125 689800 862250 1379600 1724500 2155625 3449000 4311250 6898000 8622500 17245000 34490000