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444196324 = 2211213227311
BaseRepresentation
bin11010011110011…
…110010111100100
31010221211111210201
4122132132113210
51402203240244
6112024400244
714002415005
oct3236362744
91127744721
10444196324
11208812300
12104916084
1371047180
1442dcb1ac
1528ee3ad4
hex1a79e5e4

444196324 has 72 divisors (see below), whose sum is σ = 927186624. Its totient is φ = 184958400.

The previous prime is 444196301. The next prime is 444196331. The reversal of 444196324 is 423691444.

It is a super-2 number, since 2×4441963242 = 394620748510225952, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1428129 + ... + 1428439.

It is an arithmetic number, because the mean of its divisors is an integer number (12877592).

Almost surely, 2444196324 is an apocalyptic number.

444196324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444196324 is an abundant number, since it is smaller than the sum of its proper divisors (482990300).

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

444196324 is a wasteful number, since it uses less digits than its factorization.

444196324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 444196324 is about 21075.9655532078. The cubic root of 444196324 is about 763.0007884300. Note that the first 3 decimals are identical.

The spelling of 444196324 in words is "four hundred forty-four million, one hundred ninety-six thousand, three hundred twenty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 227 242 286 311 454 484 572 622 908 1244 1573 2497 2951 3146 3421 4043 4994 5902 6292 6842 8086 9988 11804 13684 16172 27467 32461 37631 44473 54934 64922 70597 75262 88946 109868 129844 141194 150524 177892 282388 357071 489203 714142 776567 917761 978406 1428284 1553134 1835522 1956812 3106268 3671044 8542237 10095371 17084474 20190742 34168948 40381484 111049081 222098162 444196324