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334450000 = 24556689
BaseRepresentation
bin10011111011110…
…100110101010000
3212022022211011001
4103323310311100
51141104400000
653104231344
711200530613
oct2373646520
9768284131
10334450000
11161874265
129400b554
13543a0411
14325c017a
151e56646a
hex13ef4d50

334450000 has 60 divisors (see below), whose sum is σ = 810065340. Its totient is φ = 133760000.

The previous prime is 334449971. The next prime is 334450003. The reversal of 334450000 is 54433.

It can be written as a sum of positive squares in 6 ways, for example, as 223442704 + 111007296 = 14948^2 + 10536^2 .

It is a super-2 number, since 2×3344500002 = 223713605000000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334450000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334450003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46656 + ... + 53344.

It is an arithmetic number, because the mean of its divisors is an integer number (13501089).

Almost surely, 2334450000 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 334450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405032670).

334450000 is an abundant number, since it is smaller than the sum of its proper divisors (475615340).

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

334450000 is an frugal number, since it uses more digits than its factorization.

334450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 334450000 is about 18287.9741907079. The cubic root of 334450000 is about 694.1346647962.

The spelling of 334450000 in words is "three hundred thirty-four million, four hundred fifty 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 3125 5000 6250 6689 10000 12500 13378 25000 26756 33445 50000 53512 66890 107024 133780 167225 267560 334450 535120 668900 836125 1337800 1672250 2675600 3344500 4180625 6689000 8361250 13378000 16722500 20903125 33445000 41806250 66890000 83612500 167225000 334450000