Search a number
-
+
406316316 = 223747971061
BaseRepresentation
bin11000001101111…
…110010100011100
31001022120000012110
4120031332110130
51313004110231
6104152434020
713032426450
oct3015762434
91038500173
10406316316
1119939a50a
12b40a8910
1366243573
143bd6a660
1525a10046
hex1837e51c

406316316 has 96 divisors (see below), whose sum is σ = 1119025152. Its totient is φ = 112343040.

The previous prime is 406316297. The next prime is 406316329. The reversal of 406316316 is 613613604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382426 + ... + 383486.

It is an arithmetic number, because the mean of its divisors is an integer number (11656512).

Almost surely, 2406316316 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 406316316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559512576).

406316316 is an abundant number, since it is smaller than the sum of its proper divisors (712708836).

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

406316316 is a wasteful number, since it uses less digits than its factorization.

406316316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 406316316 is about 20157.2894011075. The cubic root of 406316316 is about 740.6643145788.

The spelling of 406316316 in words is "four hundred six million, three hundred sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 97 141 188 194 282 291 329 388 564 582 658 679 987 1061 1164 1316 1358 1974 2037 2122 2716 3183 3948 4074 4244 4559 6366 7427 8148 9118 12732 13677 14854 18236 22281 27354 29708 31913 44562 49867 54708 63826 89124 95739 99734 102917 127652 149601 191478 199468 205834 299202 308751 349069 382956 411668 598404 617502 698138 720419 1047207 1235004 1396276 1440838 2094414 2161257 2881676 4188828 4322514 4837099 8645028 9674198 14511297 19348396 29022594 33859693 58045188 67719386 101579079 135438772 203158158 406316316