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406677349 = 13171996851
BaseRepresentation
bin11000001111010…
…110011101100101
31001100020100110001
4120033112131211
51313102133344
6104204301301
713035462151
oct3017263545
91040210401
10406677349
11199616791
12b4241831
136633b9b0
143c022061
1525a81ed4
hex183d6765

406677349 has 16 divisors (see below), whose sum is σ = 488134080. Its totient is φ = 334713600.

The previous prime is 406677347. The next prime is 406677367. The reversal of 406677349 is 943776604.

It is not a de Polignac number, because 406677349 - 21 = 406677347 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 406677299 and 406677308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406677347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44227 + ... + 52624.

It is an arithmetic number, because the mean of its divisors is an integer number (30508380).

Almost surely, 2406677349 is an apocalyptic number.

It is an amenable number.

406677349 is a deficient number, since it is larger than the sum of its proper divisors (81456731).

406677349 is a wasteful number, since it uses less digits than its factorization.

406677349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96900.

The product of its (nonzero) digits is 762048, while the sum is 46.

The square root of 406677349 is about 20166.2428082179. The cubic root of 406677349 is about 740.8836224491.

The spelling of 406677349 in words is "four hundred six million, six hundred seventy-seven thousand, three hundred forty-nine".

Divisors: 1 13 17 19 221 247 323 4199 96851 1259063 1646467 1840169 21404071 23922197 31282873 406677349