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200646340 = 22553732593
BaseRepresentation
bin10111111010110…
…01111011000100
3111222112220000221
423331121323010
5402331140330
631524314124
74654315516
oct1375317304
9458486027
10200646340
11a3294624
1257242944
133275255b
141c90dbb6
1512935b7a
hexbf59ec4

200646340 has 48 divisors (see below), whose sum is σ = 435356208. Its totient is φ = 77635584.

The previous prime is 200646311. The next prime is 200646367. The reversal of 200646340 is 43646002.

It can be written as a sum of positive squares in 8 ways, for example, as 3356224 + 197290116 = 1832^2 + 14046^2 .

It is a super-4 number, since 4×2006463404 (a number of 34 digits) contains 4444 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76084 + ... + 78676.

It is an arithmetic number, because the mean of its divisors is an integer number (9069921).

Almost surely, 2200646340 is an apocalyptic number.

200646340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200646340 is an abundant number, since it is smaller than the sum of its proper divisors (234709868).

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

200646340 is a wasteful number, since it uses less digits than its factorization.

200646340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 200646340 is about 14164.9687609963. The cubic root of 200646340 is about 585.4328401088.

The spelling of 200646340 in words is "two hundred million, six hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 73 106 146 212 265 292 365 530 730 1060 1460 2593 3869 5186 7738 10372 12965 15476 19345 25930 38690 51860 77380 137429 189289 274858 378578 549716 687145 757156 946445 1374290 1892890 2748580 3785780 10032317 20064634 40129268 50161585 100323170 200646340