Search a number
-
+
3234924 = 2233711389
BaseRepresentation
bin1100010101110001101100
320002100111000
430111301230
51312004144
6153200300
736332160
oct14256154
96070430
103234924
11190a4a0
121100090
13893574
14602ca0
1543d769
hex315c6c

3234924 has 96 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 838080.

The previous prime is 3234923. The next prime is 3234983. The reversal of 3234924 is 4294323.

It is a happy number.

3234924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3234923) 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 31 ways as a sum of consecutive naturals, for example, 8122 + ... + 8510.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

Almost surely, 23234924 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 3234924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3234924 is an abundant number, since it is smaller than the sum of its proper divisors (7248276).

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

3234924 is a wasteful number, since it uses less digits than its factorization.

3234924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3234924 is about 1798.5894473170. The cubic root of 3234924 is about 147.8954094251.

The spelling of 3234924 in words is "three million, two hundred thirty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 389 396 462 594 693 756 778 924 1167 1188 1386 1556 2079 2334 2723 2772 3501 4158 4279 4668 5446 7002 8169 8316 8558 10503 10892 12837 14004 16338 17116 21006 24507 25674 29953 32676 38511 42012 49014 51348 59906 73521 77022 89859 98028 115533 119812 147042 154044 179718 231066 269577 294084 359436 462132 539154 808731 1078308 1617462 3234924