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164036349 = 32171072133
BaseRepresentation
bin10011100011011…
…11111011111101
3102102122220120100
421301233323331
5313443130344
624135511313
74031200041
oct1161577375
9372586510
10164036349
1184659a34
1246b28539
1327ca4a39
1417b00021
15e603569
hex9c6fefd

164036349 has 12 divisors (see below), whose sum is σ = 250879356. Its totient is φ = 102924672.

The previous prime is 164036333. The next prime is 164036359. The reversal of 164036349 is 943630461.

164036349 is a `hidden beast` number, since 1 + 640 + 3 + 6 + 3 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108056025 + 55980324 = 10395^2 + 7482^2 .

It is not a de Polignac number, because 164036349 - 24 = 164036333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164036359) 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, 535914 + ... + 536219.

It is an arithmetic number, because the mean of its divisors is an integer number (20906613).

Almost surely, 2164036349 is an apocalyptic number.

It is an amenable number.

164036349 is a deficient number, since it is larger than the sum of its proper divisors (86843007).

164036349 is a wasteful number, since it uses less digits than its factorization.

164036349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072156 (or 1072153 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 164036349 is about 12807.6675862547. The cubic root of 164036349 is about 547.4108042598.

The spelling of 164036349 in words is "one hundred sixty-four million, thirty-six thousand, three hundred forty-nine".

Divisors: 1 3 9 17 51 153 1072133 3216399 9649197 18226261 54678783 164036349