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413240331 = 37167117833
BaseRepresentation
bin11000101000011…
…000110000001011
31001210120210011110
4120220120300023
51321242142311
6105001101403
713145325210
oct3050306013
91053523143
10413240331
111a2299639
12b6487863
13677c900a
143cc4db07
152642b8a6
hex18a18c0b

413240331 has 16 divisors (see below), whose sum is σ = 633475584. Its totient is φ = 234721344.

The previous prime is 413240327. The next prime is 413240351. The reversal of 413240331 is 133042314.

It is not a de Polignac number, because 413240331 - 22 = 413240327 is a prime.

It is a super-2 number, since 2×4132403312 = 341535142329979122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 413240298 and 413240307.

It is not an unprimeable number, because it can be changed into a prime (413240351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55410 + ... + 62423.

It is an arithmetic number, because the mean of its divisors is an integer number (39592224).

Almost surely, 2413240331 is an apocalyptic number.

413240331 is a deficient number, since it is larger than the sum of its proper divisors (220235253).

413240331 is a wasteful number, since it uses less digits than its factorization.

413240331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118010.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 413240331 is about 20328.3135306400. The cubic root of 413240331 is about 744.8478472515.

Adding to 413240331 its reverse (133042314), we get a palindrome (546282645).

The spelling of 413240331 in words is "four hundred thirteen million, two hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 7 21 167 501 1169 3507 117833 353499 824831 2474493 19678111 59034333 137746777 413240331