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406714341 = 311177110211
BaseRepresentation
bin11000001111011…
…111011111100101
31001100022020012010
4120033133133211
51313104324331
6104205144433
713036005045
oct3017373745
91040266163
10406714341
11199641560
12b425b119
1366352797
143c031725
1525a8ce46
hex183df7e5

406714341 has 32 divisors (see below), whose sum is σ = 635268096. Its totient is φ = 228704000.

The previous prime is 406714337. The next prime is 406714367. The reversal of 406714341 is 143417604.

It is a cyclic number.

It is not a de Polignac number, because 406714341 - 22 = 406714337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406714299 and 406714308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406710341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34726 + ... + 44936.

It is an arithmetic number, because the mean of its divisors is an integer number (19852128).

Almost surely, 2406714341 is an apocalyptic number.

It is an amenable number.

406714341 is a deficient number, since it is larger than the sum of its proper divisors (228553755).

406714341 is a wasteful number, since it uses less digits than its factorization.

406714341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 406714341 is about 20167.1599636637. The cubic root of 406714341 is about 740.9060857410.

The spelling of 406714341 in words is "four hundred six million, seven hundred fourteen thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 51 71 187 213 561 781 1207 2343 3621 10211 13277 30633 39831 112321 173587 336963 520761 724981 1909457 2174943 5728371 7974791 12324677 23924373 36974031 135571447 406714341