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203774340 = 223572116301
BaseRepresentation
bin11000010010101…
…01100110000100
3112012102210211210
430021111212010
5404131234330
632115331420
75023024200
oct1411254604
9465383753
10203774340
11a5030750
12582b0b70
13332a9243
141d0c5b00
1512d528b0
hexc255984

203774340 has 144 divisors (see below), whose sum is σ = 724175424. Its totient is φ = 42336000.

The previous prime is 203774327. The next prime is 203774357. The reversal of 203774340 is 43477302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 203774298 and 203774307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29190 + ... + 35490.

It is an arithmetic number, because the mean of its divisors is an integer number (5028996).

Almost surely, 2203774340 is an apocalyptic number.

203774340 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 203774340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362087712).

203774340 is an abundant number, since it is smaller than the sum of its proper divisors (520401084).

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

203774340 is a wasteful number, since it uses less digits than its factorization.

203774340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 203774340 is about 14274.9549911725. The cubic root of 203774340 is about 588.4593915608.

The spelling of 203774340 in words is "two hundred three million, seven hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6301 6468 8085 10780 12602 16170 18903 25204 31505 32340 37806 44107 63010 69311 75612 88214 94515 126020 132321 138622 176428 189030 207933 220535 264642 277244 308749 346555 378060 415866 441070 485177 529284 617498 661605 693110 831732 882140 926247 970354 1039665 1234996 1323210 1386220 1455531 1543745 1852494 1940708 2079330 2425885 2646420 2911062 3087490 3396239 3704988 4158660 4631235 4851770 5822124 6174980 6792478 7277655 9262470 9703540 10188717 13584956 14555310 16981195 18524940 20377434 29110620 33962390 40754868 50943585 67924780 101887170 203774340