Search a number
-
+
200404368 = 2434239647
BaseRepresentation
bin10111111000111…
…10110110010000
3111222002121010000
423330132312100
5402300414433
631515210000
74652260203
oct1374366620
9458077100
10200404368
11a313984a
1257146900
1332699388
141c88993a
15128d9113
hexbf1ed90

200404368 has 100 divisors (see below), whose sum is σ = 583355520. Its totient is φ = 66419136.

The previous prime is 200404363. The next prime is 200404397. The reversal of 200404368 is 863404002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200404363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 309421 + ... + 310067.

Almost surely, 2200404368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200404368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

200404368 is an abundant number, since it is smaller than the sum of its proper divisors (382951152).

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

200404368 is a wasteful number, since it uses less digits than its factorization.

200404368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 200404368 is about 14156.4249724286. The cubic root of 200404368 is about 585.1974087219.

The spelling of 200404368 in words is "two hundred million, four hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 324 432 478 647 648 717 956 1294 1296 1434 1912 1941 2151 2588 2868 3824 3882 4302 5176 5736 5823 6453 7764 8604 10352 11472 11646 12906 15528 17208 17469 19359 23292 25812 31056 34416 34938 38718 46584 51624 52407 69876 77436 93168 103248 104814 139752 154633 154872 209628 279504 309266 309744 419256 463899 618532 838512 927798 1237064 1391697 1855596 2474128 2783394 3711192 4175091 5566788 7422384 8350182 11133576 12525273 16700364 22267152 25050546 33400728 50101092 66801456 100202184 200404368