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334200100 = 225213257077
BaseRepresentation
bin10011111010110…
…111110100100100
3212021212010100111
4103322313310210
51141023400400
653055022404
711165440213
oct2372676444
9767763314
10334200100
11161713533
1293b0aa04
1354313750
143255707a
151e5173ba
hex13eb7d24

334200100 has 36 divisors (see below), whose sum is σ = 781002964. Its totient is φ = 123396480.

The previous prime is 334200071. The next prime is 334200107. The reversal of 334200100 is 1002433.

It can be written as a sum of positive squares in 6 ways, for example, as 14791716 + 319408384 = 3846^2 + 17872^2 .

It is a super-2 number, since 2×3342001002 = 223379413680020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (334200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127239 + ... + 129838.

Almost surely, 2334200100 is an apocalyptic number.

It is an amenable number.

334200100 is an abundant number, since it is smaller than the sum of its proper divisors (446802864).

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

334200100 is a wasteful number, since it uses less digits than its factorization.

334200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257104 (or 257097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 334200100 is about 18281.1405552279. The cubic root of 334200100 is about 693.9617366309.

Adding to 334200100 its reverse (1002433), we get a palindrome (335202533).

The spelling of 334200100 in words is "three hundred thirty-four million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 257077 514154 1028308 1285385 2570770 3342001 5141540 6426925 6684002 12853850 13368004 16710005 25707700 33420010 66840020 83550025 167100050 334200100