Search a number
-
+
34237836 = 2233615197
BaseRepresentation
bin1000001010011…
…0110110001100
32101102110111000
42002212312030
532231102321
63221500300
7564005523
oct202466614
971373430
1034237836
1118365436
12b571690
137129b99
1447934ba
153014826
hex20a6d8c

34237836 has 48 divisors (see below), whose sum is σ = 90237280. Its totient is φ = 11223360.

The previous prime is 34237811. The next prime is 34237837. The reversal of 34237836 is 63873243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34237836.

It is not an unprimeable number, because it can be changed into a prime (34237837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3990 + ... + 9186.

Almost surely, 234237836 is an apocalyptic number.

34237836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34237836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45118640).

34237836 is an abundant number, since it is smaller than the sum of its proper divisors (55999444).

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

34237836 is a wasteful number, since it uses less digits than its factorization.

34237836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5263 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 34237836 is about 5851.3106224161. The cubic root of 34237836 is about 324.7148141238.

The spelling of 34237836 in words is "thirty-four million, two hundred thirty-seven thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 1098 1647 2196 3294 5197 6588 10394 15591 20788 31182 46773 62364 93546 140319 187092 280638 317017 561276 634034 951051 1268068 1902102 2853153 3804204 5706306 8559459 11412612 17118918 34237836