Search a number
-
+
36349964 = 22721943227
BaseRepresentation
bin1000101010101…
…0100000001100
32112101202202222
42022222200030
533301144324
63335034512
7620653400
oct212524014
975352688
1036349964
11195782a2
121020ba38
1376b9371
144b83100
1532d055e
hex22aa80c

36349964 has 72 divisors (see below), whose sum is σ = 80055360. Its totient is φ = 14351904.

The previous prime is 36349931. The next prime is 36349981. The reversal of 36349964 is 46994363.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160019 + ... + 160245.

It is an arithmetic number, because the mean of its divisors is an integer number (1111880).

Almost surely, 236349964 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 36349964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40027680).

36349964 is an abundant number, since it is smaller than the sum of its proper divisors (43705396).

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

36349964 is a wasteful number, since it uses less digits than its factorization.

36349964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

The square root of 36349964 is about 6029.0931324703. The cubic root of 36349964 is about 331.2592353424.

The spelling of 36349964 in words is "thirty-six million, three hundred forty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 43 49 76 86 98 133 172 196 227 266 301 454 532 602 817 908 931 1204 1589 1634 1862 2107 3178 3268 3724 4214 4313 5719 6356 8428 8626 9761 11123 11438 17252 19522 22246 22876 30191 39044 40033 44492 60382 68327 80066 120764 136654 160132 185459 211337 273308 370918 422674 478289 741836 845348 956578 1298213 1913156 2596426 5192852 9087491 18174982 36349964