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164342136 = 23372394093
BaseRepresentation
bin10011100101110…
…10100101111000
3102110020110000210
421302322211320
5314032422021
624150231120
74033612410
oct1162724570
9373213023
10164342136
1184848752
12470554a0
1328080c8a
1417b7d640
15e663e76
hex9cba978

164342136 has 64 divisors (see below), whose sum is σ = 471628800. Its totient is φ = 46747008.

The previous prime is 164342131. The next prime is 164342141. The reversal of 164342136 is 631243461.

It is an interprime number because it is at equal distance from previous prime (164342131) and next prime (164342141).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164342131) 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, 38106 + ... + 42198.

It is an arithmetic number, because the mean of its divisors is an integer number (7369200).

Almost surely, 2164342136 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 164342136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235814400).

164342136 is an abundant number, since it is smaller than the sum of its proper divisors (307286664).

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

164342136 is a wasteful number, since it uses less digits than its factorization.

164342136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4344 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 164342136 is about 12819.5996817373. The cubic root of 164342136 is about 547.7507435530.

Adding to 164342136 its reverse (631243461), we get a palindrome (795585597).

The spelling of 164342136 in words is "one hundred sixty-four million, three hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 239 478 717 956 1434 1673 1912 2868 3346 4093 5019 5736 6692 8186 10038 12279 13384 16372 20076 24558 28651 32744 40152 49116 57302 85953 98232 114604 171906 229208 343812 687624 978227 1956454 2934681 3912908 5869362 6847589 7825816 11738724 13695178 20542767 23477448 27390356 41085534 54780712 82171068 164342136