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334005200 = 2452835013
BaseRepresentation
bin10011111010001…
…000001111010000
3212021111012222222
4103322020033100
51141001131300
653050520212
711163666044
oct2372101720
9767435888
10334005200
111615a0061
1293a36068
1354275b19
1432506024
151e4c9785
hex13e883d0

334005200 has 30 divisors (see below), whose sum is σ = 802448454. Its totient is φ = 133601920.

The previous prime is 334005187. The next prime is 334005211. The reversal of 334005200 is 2500433.

It can be written as a sum of positive squares in 3 ways, for example, as 107081104 + 226924096 = 10348^2 + 15064^2 .

It is a super-2 number, since 2×3340052002 = 223118947254080000, which contains 22 as substring.

It is a congruent number.

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, 417107 + ... + 417906.

Almost surely, 2334005200 is an apocalyptic number.

It is an amenable number.

334005200 is an abundant number, since it is smaller than the sum of its proper divisors (468443254).

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

334005200 is a wasteful number, since it uses less digits than its factorization.

334005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835031 (or 835020 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 334005200 is about 18275.8091476137. The cubic root of 334005200 is about 693.8268080422.

Adding to 334005200 its reverse (2500433), we get a palindrome (336505633).

The spelling of 334005200 in words is "three hundred thirty-four million, five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 835013 1670026 3340052 4175065 6680104 8350130 13360208 16700260 20875325 33400520 41750650 66801040 83501300 167002600 334005200