Search a number
-
+
540628344 = 2335318971
BaseRepresentation
bin100000001110010…
…101010101111000
31101200021202200000
4200032111111320
52101400101334
6125351313000
716253156634
oct4016252570
91350252600
10540628344
11258197093
1213107b760
138800b939
1451b2ddc4
15326e1299
hex20395578

540628344 has 96 divisors (see below), whose sum is σ = 1567587840. Its totient is φ = 174376800.

The previous prime is 540628343. The next prime is 540628351. The reversal of 540628344 is 443826045.

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

It is a junction number, because it is equal to n+sod(n) for n = 540628299 and 540628308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540628343) 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 23 ways as a sum of consecutive naturals, for example, 55779 + ... + 64749.

It is an arithmetic number, because the mean of its divisors is an integer number (16329040).

Almost surely, 2540628344 is an apocalyptic number.

540628344 is a gapful number since it is divisible by the number (54) 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 540628344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783793920).

540628344 is an abundant number, since it is smaller than the sum of its proper divisors (1026959496).

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

540628344 is a wasteful number, since it uses less digits than its factorization.

540628344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 540628344 is about 23251.4159568831. The cubic root of 540628344 is about 814.6410121839.

The spelling of 540628344 in words is "five hundred forty million, six hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 972 1116 1674 1944 2232 2511 3348 5022 6696 7533 8971 10044 15066 17942 20088 26913 30132 35884 53826 60264 71768 80739 107652 161478 215304 242217 278101 322956 484434 556202 645912 726651 834303 968868 1112404 1453302 1668606 1937736 2179953 2224808 2502909 2906604 3337212 4359906 5005818 5813208 6674424 7508727 8719812 10011636 15017454 17439624 20023272 22526181 30034908 45052362 60069816 67578543 90104724 135157086 180209448 270314172 540628344