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2304440442 = 23610115649
BaseRepresentation
bin1000100101011010…
…1111100001111010
312221121012201000000
42021112233201322
514204414043232
61020400053430
7111051264153
oct21126574172
95847181000
102304440442
11a82884237
12543904276
132a956b335
1417c0a692a
15d749c27c
hex895af87a

2304440442 has 56 divisors (see below), whose sum is σ = 5234267700. Its totient is φ = 760492800.

The previous prime is 2304440431. The next prime is 2304440447. The reversal of 2304440442 is 2440444032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2276148681 + 28291761 = 47709^2 + 5319^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2304440447) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 139434 + ... + 155082.

Almost surely, 22304440442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304440442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617133850).

2304440442 is an abundant number, since it is smaller than the sum of its proper divisors (2929827258).

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

2304440442 is a wasteful number, since it uses less digits than its factorization.

2304440442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15770 (or 15755 counting only the distinct ones).

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

The square root of 2304440442 is about 48004.5877182588. The cubic root of 2304440442 is about 1320.8550555058.

Adding to 2304440442 its reverse (2440444032), we get a palindrome (4744884474).

The spelling of 2304440442 in words is "two billion, three hundred four million, four hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 729 909 1458 1818 2727 5454 8181 15649 16362 24543 31298 46947 49086 73629 93894 140841 147258 281682 422523 845046 1267569 1580549 2535138 3161098 3802707 4741647 7605414 9483294 11408121 14224941 22816242 28449882 42674823 85349646 128024469 256048938 384073407 768146814 1152220221 2304440442