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171072328 = 23722331873
BaseRepresentation
bin10100011001001…
…01101101001000
3102220220101010011
422030211231020
5322243303303
624550401304
74145043100
oct1214455510
9386811104
10171072328
1188625199
1249360234
132959943b
1418a12200
151004316d
hexa325b48

171072328 has 48 divisors (see below), whose sum is σ = 374931180. Its totient is φ = 72963072.

The previous prime is 171072301. The next prime is 171072337. The reversal of 171072328 is 823270171.

It can be written as a sum of positive squares in 2 ways, for example, as 136002244 + 35070084 = 11662^2 + 5922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 171072328.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90400 + ... + 92272.

Almost surely, 2171072328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171072328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187465590).

171072328 is an abundant number, since it is smaller than the sum of its proper divisors (203858852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171072328 is a wasteful number, since it uses less digits than its factorization.

171072328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 171072328 is about 13079.4620684491. The cubic root of 171072328 is about 555.1281558878.

The spelling of 171072328 in words is "one hundred seventy-one million, seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 233 392 466 932 1631 1864 1873 3262 3746 6524 7492 11417 13048 13111 14984 22834 26222 45668 52444 91336 91777 104888 183554 367108 436409 734216 872818 1745636 3054863 3491272 6109726 12219452 21384041 24438904 42768082 85536164 171072328