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406316031 = 31117711012
BaseRepresentation
bin11000001101111…
…110001111111111
31001022112222210220
4120031332033333
51313004103111
6104152432423
713032425562
oct3015761777
91038488726
10406316031
1119939a280
12b40a8713
13662433b4
143bd6a4d9
1525a0ee06
hex1837e3ff

406316031 has 48 divisors (see below), whose sum is σ = 640929024. Its totient is φ = 226240000.

The previous prime is 406316023. The next prime is 406316033. The reversal of 406316031 is 130613604.

It is not a de Polignac number, because 406316031 - 23 = 406316023 is a prime.

It is a super-2 number, since 2×4063160312 = 330185434095185922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406315992 and 406316010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406316033) 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, 4022881 + ... + 4022981.

It is an arithmetic number, because the mean of its divisors is an integer number (13352688).

Almost surely, 2406316031 is an apocalyptic number.

406316031 is a deficient number, since it is larger than the sum of its proper divisors (234612993).

406316031 is a wasteful number, since it uses less digits than its factorization.

406316031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 406316031 is about 20157.2823317033. The cubic root of 406316031 is about 740.6641414055.

Adding to 406316031 its reverse (130613604), we get a palindrome (536929635).

The spelling of 406316031 in words is "four hundred six million, three hundred sixteen thousand, thirty-one".

Divisors: 1 3 11 17 33 51 71 101 187 213 303 561 781 1111 1207 1717 2343 3333 3621 5151 7171 10201 13277 18887 21513 30603 39831 56661 78881 112211 121907 173417 236643 336633 365721 520251 724271 1340977 1907587 2172813 4022931 5722761 7966981 12312607 23900943 36937821 135438677 406316031