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444204240 = 24353750023
BaseRepresentation
bin11010011110100…
…000010011010000
31010221211220122220
4122132200103100
51402204013430
6112024501040
714002450044
oct3236402320
91127756586
10444204240
11208818247
1210491a780
137104a95c
1442dd0024
1528ee6110
hex1a7a04d0

444204240 has 80 divisors (see below), whose sum is σ = 1414278528. Its totient is φ = 115250688.

The previous prime is 444204199. The next prime is 444204253. The reversal of 444204240 is 42402444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 444204240.

It is a congruent number.

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, 16132 + ... + 33891.

Almost surely, 2444204240 is an apocalyptic number.

444204240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444204240 is an abundant number, since it is smaller than the sum of its proper divisors (970074288).

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

444204240 is a wasteful number, since it uses less digits than its factorization.

444204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50076 (or 50070 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 444204240 is about 21076.1533492239. The cubic root of 444204240 is about 763.0053208691.

Adding to 444204240 its reverse (42402444), we get a palindrome (486606684).

It can be divided in two parts, 444204 and 240, that added together give a palindrome (444444).

The spelling of 444204240 in words is "four hundred forty-four million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 50023 100046 150069 200092 250115 300138 400184 500230 600276 750345 800368 1000460 1200552 1500690 1850851 2000920 2401104 3001380 3701702 4001840 5552553 6002760 7403404 9254255 11105106 12005520 14806808 18508510 22210212 27762765 29613616 37017020 44420424 55525530 74034040 88840848 111051060 148068080 222102120 444204240