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1224404324 = 2211213214969
BaseRepresentation
bin100100011111010…
…1110110101100100
310011022221011222022
41020332232311210
510001421414244
6321255122312
742225156623
oct11076566544
93138834868
101224404324
11579165100
122a2073398
1316688a500
14b88836ba
157275b6ee
hex48faed64

1224404324 has 54 divisors (see below), whose sum is σ = 2550483810. Its totient is φ = 513701760.

The previous prime is 1224404309. The next prime is 1224404353. The reversal of 1224404324 is 4234044221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 162817600 + 1061586724 = 12760^2 + 32582^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1224404293 and 1224404302.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 74312 + ... + 89280.

Almost surely, 21224404324 is an apocalyptic number.

It is an amenable number.

1224404324 is an abundant number, since it is smaller than the sum of its proper divisors (1326079486).

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

1224404324 is a wasteful number, since it uses less digits than its factorization.

1224404324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021 (or 14995 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 1224404324 is about 34991.4893081161. The cubic root of 1224404324 is about 1069.8140195582.

Adding to 1224404324 its reverse (4234044221), we get a palindrome (5458448545).

The spelling of 1224404324 in words is "one billion, two hundred twenty-four million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1573 1859 3146 3718 6292 7436 14969 20449 29938 40898 59876 81796 164659 194597 329318 389194 658636 778388 1811249 2140567 2529761 3622498 4281134 5059522 7244996 8562268 10119044 23546237 27827371 47092474 55654742 94184948 111309484 306101081 612202162 1224404324