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334125200 = 2452835313
BaseRepresentation
bin10011111010100…
…101100010010000
3212021201022121102
4103322211202100
51141014001300
653053243532
711165005643
oct2372454220
9767638542
10334125200
11161672232
1293a935a8
13542b8626
1432537a5a
151e5000d5
hex13ea5890

334125200 has 30 divisors (see below), whose sum is σ = 802736754. Its totient is φ = 133649920.

The previous prime is 334125173. The next prime is 334125217. The reversal of 334125200 is 2521433.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4194304 + 329930896 = 2048^2 + 18164^2 .

It is a super-2 number, since 2×3341252002 = 223279298550080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417257 + ... + 418056.

Almost surely, 2334125200 is an apocalyptic number.

It is an amenable number.

334125200 is an abundant number, since it is smaller than the sum of its proper divisors (468611554).

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

334125200 is a wasteful number, since it uses less digits than its factorization.

334125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835331 (or 835320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 334125200 is about 18279.0918811630. The cubic root of 334125200 is about 693.9098898305.

Adding to 334125200 its reverse (2521433), we get a palindrome (336646633).

The spelling of 334125200 in words is "three hundred thirty-four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 835313 1670626 3341252 4176565 6682504 8353130 13365008 16706260 20882825 33412520 41765650 66825040 83531300 167062600 334125200