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413400411 = 32711993251
BaseRepresentation
bin11000101000111…
…111110101011011
31001210212220202100
4120220333311123
51321312303121
6105004334443
713146563004
oct3050776533
91053786670
10413400411
111a2398936
12b6544423
1367853b38
143cc921ab
152645e026
hex18a3fd5b

413400411 has 24 divisors (see below), whose sum is σ = 608774400. Its totient is φ = 270270000.

The previous prime is 413400397. The next prime is 413400419. The reversal of 413400411 is 114004314.

It is a de Polignac number, because none of the positive numbers 2k-413400411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413400419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125536 + ... + 128786.

It is an arithmetic number, because the mean of its divisors is an integer number (25365600).

Almost surely, 2413400411 is an apocalyptic number.

413400411 is a deficient number, since it is larger than the sum of its proper divisors (195373989).

413400411 is a wasteful number, since it uses less digits than its factorization.

413400411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413400411 is about 20332.2505148840. The cubic root of 413400411 is about 744.9440139301.

Adding to 413400411 its reverse (114004314), we get a palindrome (527404725).

The spelling of 413400411 in words is "four hundred thirteen million, four hundred thousand, four hundred eleven".

Divisors: 1 3 9 71 199 213 597 639 1791 3251 9753 14129 29259 42387 127161 230821 646949 692463 1940847 2077389 5822541 45933379 137800137 413400411