Search a number
-
+
467338041 = 321719373431
BaseRepresentation
bin11011110110110…
…000001100111001
31012120101020021100
4123312300030321
51424114304131
6114212402013
714403210402
oct3366601471
91176336240
10467338041
1121a888a95
12110616309
1375a8a5b1
14460d29a9
152b0657e6
hex1bdb0339

467338041 has 48 divisors (see below), whose sum is σ = 756138240. Its totient is φ = 276410880.

The previous prime is 467338031. The next prime is 467338063. The reversal of 467338041 is 140833764.

It is not a de Polignac number, because 467338041 - 218 = 467075897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 467337987 and 467338005.

It is not an unprimeable number, because it can be changed into a prime (467338031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084096 + ... + 1084526.

It is an arithmetic number, because the mean of its divisors is an integer number (15752880).

Almost surely, 2467338041 is an apocalyptic number.

It is an amenable number.

467338041 is a deficient number, since it is larger than the sum of its proper divisors (288800199).

467338041 is a wasteful number, since it uses less digits than its factorization.

467338041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 467338041 is about 21618.0027060781. The cubic root of 467338041 is about 776.0273802868.

The spelling of 467338041 in words is "four hundred sixty-seven million, three hundred thirty-eight thousand, forty-one".

Divisors: 1 3 9 17 19 51 57 153 171 323 373 431 969 1119 1293 2907 3357 3879 6341 7087 7327 8189 19023 21261 21981 24567 57069 63783 65943 73701 120479 139213 160763 361437 417639 482289 1084311 1252917 1446867 2732971 3054497 8198913 9163491 24596739 27490473 51926449 155779347 467338041