Search a number
-
+
32495034 = 2311313313
BaseRepresentation
bin111101111110…
…1010110111010
32021010220210210
41323331112322
531304320114
63120251550
7543126465
oct173752672
967126723
1032495034
1117385000
12aa70bb6
136969840
14445c2dc
152cbd259
hex1efd5ba

32495034 has 64 divisors (see below), whose sum is σ = 77228928. Its totient is φ = 9060480.

The previous prime is 32495011. The next prime is 32495053. The reversal of 32495034 is 43059423.

It is a super-2 number, since 2×324950342 = 2111854469322312, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32494992 and 32495010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103662 + ... + 103974.

It is an arithmetic number, because the mean of its divisors is an integer number (1206702).

Almost surely, 232495034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32495034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38614464).

32495034 is an abundant number, since it is smaller than the sum of its proper divisors (44733894).

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

32495034 is a wasteful number, since it uses less digits than its factorization.

32495034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 32495034 is about 5700.4415618441. The cubic root of 32495034 is about 319.1089600041.

The spelling of 32495034 in words is "thirty-two million, four hundred ninety-five thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 313 363 429 626 726 858 939 1331 1573 1878 2662 3146 3443 3993 4069 4719 6886 7986 8138 9438 10329 12207 17303 20658 24414 34606 37873 44759 51909 75746 89518 103818 113619 134277 227238 268554 416603 492349 833206 984698 1249809 1477047 2499618 2954094 5415839 10831678 16247517 32495034