Search a number
-
+
34190328 = 2332322693
BaseRepresentation
bin1000001001101…
…1001111111000
32101100001022110
42002123033320
532223042303
63220452320
7563420154
oct202331770
971301273
1034190328
1118332777
12b54a0a0
137111383
144780064
153005703
hex209b3f8

34190328 has 48 divisors (see below), whose sum is σ = 89386920. Its totient is φ = 10897216.

The previous prime is 34190327. The next prime is 34190339. The reversal of 34190328 is 82309143.

34190328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34190295 and 34190304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34190327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11350 + ... + 14042.

Almost surely, 234190328 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 34190328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44693460).

34190328 is an abundant number, since it is smaller than the sum of its proper divisors (55196592).

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

34190328 is a wasteful number, since it uses less digits than its factorization.

34190328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34190328 is about 5847.2496098593. The cubic root of 34190328 is about 324.5645545092.

The spelling of 34190328 in words is "thirty-four million, one hundred ninety thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 529 552 1058 1587 2116 2693 3174 4232 5386 6348 8079 10772 12696 16158 21544 32316 61939 64632 123878 185817 247756 371634 495512 743268 1424597 1486536 2849194 4273791 5698388 8547582 11396776 17095164 34190328