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208449340 = 225111039199
BaseRepresentation
bin11000110110010…
…10111100111100
3112112020022201221
430123022330330
5411330334330
632403443124
75110535011
oct1433127474
9475208657
10208449340
11a7734090
12599864a4
1334255108
141d981708
1513477b7a
hexc6caf3c

208449340 has 48 divisors (see below), whose sum is σ = 482227200. Its totient is φ = 75055680.

The previous prime is 208449313. The next prime is 208449349. The reversal of 208449340 is 43944802.

It is a super-2 number, since 2×2084493402 = 86902254692871200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208449296 and 208449305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208449349) 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, 18061 + ... + 27259.

It is an arithmetic number, because the mean of its divisors is an integer number (10046400).

Almost surely, 2208449340 is an apocalyptic number.

208449340 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 208449340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

208449340 is an abundant number, since it is smaller than the sum of its proper divisors (273777860).

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

208449340 is a wasteful number, since it uses less digits than its factorization.

208449340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9322 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 208449340 is about 14437.7747592903. The cubic root of 208449340 is about 592.9255632210.

The spelling of 208449340 in words is "two hundred eight million, four hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 4532 5665 9199 11330 18398 22660 36796 45995 91990 101189 183980 202378 404756 505945 947497 1011890 1894994 2023780 3789988 4737485 9474970 10422467 18949940 20844934 41689868 52112335 104224670 208449340