Search a number
-
+
406240461 = 33113144123
BaseRepresentation
bin11000001101101…
…011110011001101
31001022102011011000
4120031223303031
51312444143321
6104151050513
713031662344
oct3015536315
91038364130
10406240461
11199348520
12b4070a39
1366217b93
143bd4ab5b
15259e7826
hex1836bccd

406240461 has 32 divisors (see below), whose sum is σ = 677744640. Its totient is φ = 238258800.

The previous prime is 406240453. The next prime is 406240469. The reversal of 406240461 is 164042604.

It is an interprime number because it is at equal distance from previous prime (406240453) and next prime (406240469).

It is not a de Polignac number, because 406240461 - 23 = 406240453 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406240469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12855 + ... + 31268.

It is an arithmetic number, because the mean of its divisors is an integer number (21179520).

Almost surely, 2406240461 is an apocalyptic number.

It is an amenable number.

406240461 is a deficient number, since it is larger than the sum of its proper divisors (271504179).

406240461 is a wasteful number, since it uses less digits than its factorization.

406240461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44174 (or 44168 counting only the distinct ones).

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

The square root of 406240461 is about 20155.4077358906. The cubic root of 406240461 is about 740.6182202872.

The spelling of 406240461 in words is "four hundred six million, two hundred forty thousand, four hundred sixty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 44123 132369 397107 485353 1191321 1367813 1456059 4103439 4368177 12310317 13104531 15045943 36930951 45137829 135413487 406240461