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2404442320 = 245719492203
BaseRepresentation
bin1000111101010000…
…1110000011010000
320012120101022210021
42033110032003100
514411014123240
61034331313224
7113404264630
oct21724160320
96176338707
102404442320
111024277115
125712ab814
132c41b2947
1418b4986c0
15e115254a
hex8f50e0d0

2404442320 has 80 divisors (see below), whose sum is σ = 6395126400. Its totient is φ = 823583232.

The previous prime is 2404442263. The next prime is 2404442321. The reversal of 2404442320 is 232444042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404442321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1090339 + ... + 1092541.

It is an arithmetic number, because the mean of its divisors is an integer number (79939080).

Almost surely, 22404442320 is an apocalyptic number.

2404442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2404442320 is an abundant number, since it is smaller than the sum of its proper divisors (3990684080).

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

2404442320 is a wasteful number, since it uses less digits than its factorization.

2404442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 2404442320 is about 49035.1131333456. The cubic root of 2404442320 is about 1339.6914563987.

Adding to 2404442320 its reverse (232444042), we get a palindrome (2636886362).

The spelling of 2404442320 in words is "two billion, four hundred four million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1949 2203 3898 4406 7796 8812 9745 11015 13643 15421 15592 17624 19490 22030 27286 30842 31184 35248 38980 44060 54572 61684 68215 77105 77960 88120 109144 123368 136430 154210 155920 176240 218288 246736 272860 308420 545720 616840 1091440 1233680 4293647 8587294 17174588 21468235 30055529 34349176 42936470 60111058 68698352 85872940 120222116 150277645 171745880 240444232 300555290 343491760 480888464 601110580 1202221160 2404442320