Search a number
-
+
34190332 = 221117431063
BaseRepresentation
bin1000001001101…
…1001111111100
32101100001022121
42002123033330
532223042312
63220452324
7563420161
oct202331774
971301277
1034190332
1118332780
12b54a0a4
137111387
144780068
153005707
hex209b3fc

34190332 has 48 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 14273280.

The previous prime is 34190327. The next prime is 34190339. The reversal of 34190332 is 23309143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34190297 and 34190306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34190339) 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, 31633 + ... + 32695.

It is an arithmetic number, because the mean of its divisors is an integer number (1474704).

Almost surely, 234190332 is an apocalyptic number.

34190332 is the 2924-th decagonal number.

It is an amenable number.

34190332 is an abundant number, since it is smaller than the sum of its proper divisors (36595460).

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

34190332 is a wasteful number, since it uses less digits than its factorization.

34190332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 34190332 is about 5847.2499519005. The cubic root of 34190332 is about 324.5645671664.

Adding to 34190332 its reverse (23309143), we get a palindrome (57499475).

The spelling of 34190332 in words is "thirty-four million, one hundred ninety thousand, three hundred thirty-two".

Divisors: 1 2 4 11 17 22 34 43 44 68 86 172 187 374 473 731 748 946 1063 1462 1892 2126 2924 4252 8041 11693 16082 18071 23386 32164 36142 45709 46772 72284 91418 182836 198781 397562 502799 777053 795124 1005598 1554106 2011196 3108212 8547583 17095166 34190332