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404241324 = 2232910910657
BaseRepresentation
bin11000000110000…
…011101110101100
31001011122120211220
4120012003232230
51311441210244
6104040143340
713005665064
oct3006035654
91034576756
10404241324
11198202543
12b3467b50
1365997c66
143b98a3a4
1525750319
hex18183bac

404241324 has 48 divisors (see below), whose sum is σ = 984799200. Its totient is φ = 128894976.

The previous prime is 404241287. The next prime is 404241337. The reversal of 404241324 is 423142404.

It is a happy number.

It is a super-2 number, since 2×4042413242 = 326822096058545952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404241294 and 404241303.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32604 + ... + 43260.

It is an arithmetic number, because the mean of its divisors is an integer number (20516650).

Almost surely, 2404241324 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 404241324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492399600).

404241324 is an abundant number, since it is smaller than the sum of its proper divisors (580557876).

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

404241324 is a wasteful number, since it uses less digits than its factorization.

404241324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 404241324 is about 20105.7535049050. The cubic root of 404241324 is about 739.4013444071.

Adding to 404241324 its reverse (423142404), we get a palindrome (827383728).

The spelling of 404241324 in words is "four hundred four million, two hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 109 116 174 218 327 348 436 654 1308 3161 6322 9483 10657 12644 18966 21314 31971 37932 42628 63942 127884 309053 618106 927159 1161613 1236212 1854318 2323226 3484839 3708636 4646452 6969678 13939356 33686777 67373554 101060331 134747108 202120662 404241324