Search a number
-
+
324983928 = 233233371747
BaseRepresentation
bin10011010111101…
…101110001111000
3211122111220010210
4103113231301320
51131143441203
652125311120
711024214003
oct2327556170
9748456123
10324983928
11157499265
1290a054a0
13524378a9
143123853a
151d7e6803
hex135edc78

324983928 has 64 divisors (see below), whose sum is σ = 850786560. Its totient is φ = 103251456.

The previous prime is 324983909. The next prime is 324983929. The reversal of 324983928 is 829389423.

It is a super-2 number, since 2×3249839282 = 211229106916618368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324983929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185151 + ... + 186897.

It is an arithmetic number, because the mean of its divisors is an integer number (13293540).

Almost surely, 2324983928 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 324983928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425393280).

324983928 is an abundant number, since it is smaller than the sum of its proper divisors (525802632).

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

324983928 is a wasteful number, since it uses less digits than its factorization.

324983928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2112 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 324983928 is about 18027.3106147312. The cubic root of 324983928 is about 687.5230999621.

The spelling of 324983928 in words is "three hundred twenty-four million, nine hundred eighty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 337 552 674 1011 1348 1747 2022 2696 3494 4044 5241 6988 7751 8088 10482 13976 15502 20964 23253 31004 40181 41928 46506 62008 80362 93012 120543 160724 186024 241086 321448 482172 588739 964344 1177478 1766217 2354956 3532434 4709912 7064868 13540997 14129736 27081994 40622991 54163988 81245982 108327976 162491964 324983928