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404342244 = 223229439007
BaseRepresentation
bin11000000110011…
…100010111100100
31001011211201021200
4120012130113210
51312002422434
6104042242500
713006565235
oct3006342744
91034751250
10404342244
11198271349
12b34b6430
1365a01b87
143b9b508c
1525770199
hex1819c5e4

404342244 has 72 divisors (see below), whose sum is σ = 1082040960. Its totient is φ = 127092672.

The previous prime is 404342227. The next prime is 404342251. The reversal of 404342244 is 442243404.

It is a happy number.

404342244 is a `hidden beast` number, since 4 + 0 + 434 + 224 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 40389 + ... + 49395.

Almost surely, 2404342244 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 404342244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541020480).

404342244 is an abundant number, since it is smaller than the sum of its proper divisors (677698716).

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

404342244 is a wasteful number, since it uses less digits than its factorization.

404342244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 404342244 is about 20108.2630776504. The cubic root of 404342244 is about 739.4628705058.

Adding to 404342244 its reverse (442243404), we get a palindrome (846585648).

The spelling of 404342244 in words is "four hundred four million, three hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 774 1044 1247 1548 2494 3741 4988 7482 9007 11223 14964 18014 22446 27021 36028 44892 54042 81063 108084 162126 261203 324252 387301 522406 774602 783609 1044812 1161903 1549204 1567218 2323806 2350827 3134436 3485709 4647612 4701654 6971418 9403308 11231729 13942836 22463458 33695187 44926916 67390374 101085561 134780748 202171122 404342244