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2304432104 = 231329977877
BaseRepresentation
bin1000100101011010…
…1101011111101000
312221121012021120012
42021112231133220
514204413311404
61020355551052
7111051230642
oct21126553750
95847167505
102304432104
11a82878a47
125438bb488
132a95675c0
1417c0a3892
15d7499a6e
hex895ad7e8

2304432104 has 64 divisors (see below), whose sum is σ = 4863877200. Its totient is φ = 1016193024.

The previous prime is 2304432083. The next prime is 2304432107. The reversal of 2304432104 is 4012344032.

It can be written as a sum of positive squares in 8 ways, for example, as 324360100 + 1980072004 = 18010^2 + 44498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2304432104.

It is not an unprimeable number, because it can be changed into a prime (2304432107) 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 15 ways as a sum of consecutive naturals, for example, 288614 + ... + 296490.

Almost surely, 22304432104 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 2304432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431938600).

2304432104 is an abundant number, since it is smaller than the sum of its proper divisors (2559445096).

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

2304432104 is a wasteful number, since it uses less digits than its factorization.

2304432104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2304432104 is about 48004.5008723140. The cubic root of 2304432104 is about 1320.8534624506.

Adding to 2304432104 its reverse (4012344032), we get a palindrome (6316776136).

The spelling of 2304432104 in words is "two billion, three hundred four million, four hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 26 29 52 58 97 104 116 194 232 377 388 754 776 1261 1508 2522 2813 3016 5044 5626 7877 10088 11252 15754 22504 31508 36569 63016 73138 102401 146276 204802 228433 292552 409604 456866 764069 819208 913732 1528138 1827464 2969629 3056276 5939258 6112552 9932897 11878516 19865794 22158001 23757032 39731588 44316002 79463176 88632004 177264008 288054013 576108026 1152216052 2304432104