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206034240 = 26351571367
BaseRepresentation
bin11000100011111…
…01010101000000
3112100200121211210
430101331111000
5410221043430
632240010120
75051155626
oct1421752500
9470617753
10206034240
11a6334635
1259000940
13338baa69
141d513516
151314c2b0
hexc47d540

206034240 has 112 divisors (see below), whose sum is σ = 658806912. Its totient is φ = 54552576.

The previous prime is 206034209. The next prime is 206034247. The reversal of 206034240 is 42430602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206034247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150037 + ... + 151403.

Almost surely, 2206034240 is an apocalyptic number.

206034240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329403456).

206034240 is an abundant number, since it is smaller than the sum of its proper divisors (452772672).

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

206034240 is a wasteful number, since it uses less digits than its factorization.

206034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 206034240 is about 14353.8928517667. The cubic root of 206034240 is about 590.6267781364.

Adding to 206034240 its reverse (42430602), we get a palindrome (248464842).

The spelling of 206034240 in words is "two hundred six million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 157 160 192 240 314 320 471 480 628 785 942 960 1256 1367 1570 1884 2355 2512 2734 3140 3768 4101 4710 5024 5468 6280 6835 7536 8202 9420 10048 10936 12560 13670 15072 16404 18840 20505 21872 25120 27340 30144 32808 37680 41010 43744 50240 54680 65616 75360 82020 87488 109360 131232 150720 164040 214619 218720 262464 328080 429238 437440 643857 656160 858476 1073095 1287714 1312320 1716952 2146190 2575428 3219285 3433904 4292380 5150856 6438570 6867808 8584760 10301712 12877140 13735616 17169520 20603424 25754280 34339040 41206848 51508560 68678080 103017120 206034240