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409159341 = 32300115149
BaseRepresentation
bin11000011000110…
…100011010101101
31001111220110002200
4120120310122231
51314221044331
6104333412113
713065540243
oct3030643255
91044813080
10409159341
1119aa61518
12b503a039
13669ca626
143c4aa793
1525dc25e6
hex186346ad

409159341 has 12 divisors (see below), whose sum is σ = 591243900. Its totient is φ = 272664000.

The previous prime is 409159337. The next prime is 409159343. The reversal of 409159341 is 143951904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 254530116 + 154629225 = 15954^2 + 12435^2 .

It is not a de Polignac number, because 409159341 - 22 = 409159337 is a prime.

It is a super-2 number, since 2×4091593412 = 334822732655108562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 409159296 and 409159305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409159343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19435 + ... + 34583.

It is an arithmetic number, because the mean of its divisors is an integer number (49270325).

Almost surely, 2409159341 is an apocalyptic number.

It is an amenable number.

409159341 is a deficient number, since it is larger than the sum of its proper divisors (182084559).

409159341 is a wasteful number, since it uses less digits than its factorization.

409159341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18156 (or 18153 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 409159341 is about 20227.6874852268. The cubic root of 409159341 is about 742.3877951727.

The spelling of 409159341 in words is "four hundred nine million, one hundred fifty-nine thousand, three hundred forty-one".

Divisors: 1 3 9 3001 9003 15149 27009 45447 136341 45462149 136386447 409159341