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444344368 = 241317532371
BaseRepresentation
bin11010011111000…
…010100000110000
31010222010000212211
4122133002200300
51402223004433
6112031501504
714003602426
oct3237024060
91128100784
10444344368
11208903556
12104987894
1371099680
1443029116
15290228cd
hex1a7c2830

444344368 has 80 divisors (see below), whose sum is σ = 1000623456. Its totient is φ = 189296640.

The previous prime is 444344353. The next prime is 444344371. The reversal of 444344368 is 863443444.

It is a self number, because there is not a number n which added to its sum of digits gives 444344368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186223 + ... + 188593.

Almost surely, 2444344368 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 444344368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500311728).

444344368 is an abundant number, since it is smaller than the sum of its proper divisors (556279088).

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

444344368 is a wasteful number, since it uses less digits than its factorization.

444344368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2456 counting only the distinct ones).

The product of its digits is 442368, while the sum is 40.

The square root of 444344368 is about 21079.4774128772. The cubic root of 444344368 is about 763.0855446035.

The spelling of 444344368 in words is "four hundred forty-four million, three hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 68 104 106 136 208 212 221 272 424 442 689 848 884 901 1378 1768 1802 2371 2756 3536 3604 4742 5512 7208 9484 11024 11713 14416 18968 23426 30823 37936 40307 46852 61646 80614 93704 123292 125663 161228 187408 246584 251326 322456 493168 502652 523991 644912 1005304 1047982 1633619 2010608 2095964 2136271 3267238 4191928 4272542 6534476 8383856 8545084 13068952 17090168 26137904 27771523 34180336 55543046 111086092 222172184 444344368