Search a number
-
+
1004340042 = 232179293533
BaseRepresentation
bin111011110111010…
…000001101001010
32120222211202112100
4323313100031022
54024102340132
6243354254230
733613515036
oct7367201512
92528752470
101004340042
11475a185a2
12240427376
131300c9764
149755b1c6
155d28c37c
hex3bdd034a

1004340042 has 48 divisors (see below), whose sum is σ = 2307207240. Its totient is φ = 314658816.

The previous prime is 1004340031. The next prime is 1004340047. The reversal of 1004340042 is 2400434001.

It can be written as a sum of positive squares in 4 ways, for example, as 855036081 + 149303961 = 29241^2 + 12219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004339997 and 1004340024.

It is not an unprimeable number, because it can be changed into a prime (1004340047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282508 + ... + 286040.

Almost surely, 21004340042 is an apocalyptic number.

1004340042 is an abundant number, since it is smaller than the sum of its proper divisors (1302867198).

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

1004340042 is a wasteful number, since it uses less digits than its factorization.

1004340042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1004340042 is about 31691.3243964338. The cubic root of 1004340042 is about 1001.4445928134. Note that the first 3 decimals are identical.

Adding to 1004340042 its reverse (2400434001), we get a palindrome (3404774043).

The spelling of 1004340042 in words is "one billion, four million, three hundred forty thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 929 1858 2787 3533 5574 7066 8361 10599 15793 16722 21198 31586 31797 47379 60061 63594 94758 120122 142137 180183 284274 360366 540549 1081098 3282157 6564314 9846471 19692942 29539413 55796669 59078826 111593338 167390007 334780014 502170021 1004340042