Search a number
-
+
940998416 = 241710134253
BaseRepresentation
bin111000000101100…
…111111100010000
32102120122200011012
4320011213330100
53411343422131
6233212510052
732214232421
oct7005477420
92376580135
10940998416
11443195046
1222317b328
1311cc4c7c7
148cd8d648
155792952b
hex38167f10

940998416 has 40 divisors (see below), whose sum is σ = 1949600664. Its totient is φ = 438425600.

The previous prime is 940998413. The next prime is 940998431. The reversal of 940998416 is 614899049.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 361152016 + 579846400 = 19004^2 + 24080^2 .

It is not an unprimeable number, because it can be changed into a prime (940998413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10346 + ... + 44598.

Almost surely, 2940998416 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 940998416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974800332).

940998416 is an abundant number, since it is smaller than the sum of its proper divisors (1008602248).

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

940998416 is a wasteful number, since it uses less digits than its factorization.

940998416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34379 (or 34373 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The square root of 940998416 is about 30675.6974818830. The cubic root of 940998416 is about 979.9328067216.

The spelling of 940998416 in words is "nine hundred forty million, nine hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 404 808 1616 1717 3434 6868 13736 27472 34253 68506 137012 274024 548048 582301 1164602 2329204 3459553 4658408 6919106 9316816 13838212 27676424 55352848 58812401 117624802 235249604 470499208 940998416