Search a number
-
+
2440442312 = 237116176421
BaseRepresentation
bin1001000101110110…
…0011000111001000
320022002010022111022
42101131203013020
514444223123222
61042055052012
7114322263110
oct22135430710
96262108438
102440442312
111042625480
12581371008
132cb7a8909
1419218a040
15e43b4042
hex917631c8

2440442312 has 64 divisors (see below), whose sum is σ = 5715066240. Its totient is φ = 949132800.

The previous prime is 2440442273. The next prime is 2440442351. The reversal of 2440442312 is 2132440442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2440442273) and next prime (2440442351).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376862 + ... + 383282.

It is an arithmetic number, because the mean of its divisors is an integer number (89297910).

Almost surely, 22440442312 is an apocalyptic number.

2440442312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857533120).

2440442312 is an abundant number, since it is smaller than the sum of its proper divisors (3274623928).

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

2440442312 is a wasteful number, since it uses less digits than its factorization.

2440442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7062 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2440442312 is about 49400.8331103839. The cubic root of 2440442312 is about 1346.3444426698.

Adding to 2440442312 its reverse (2132440442), we get a palindrome (4572882754).

The spelling of 2440442312 in words is "two billion, four hundred forty million, four hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 617 1234 2468 4319 4936 6421 6787 8638 12842 13574 17276 25684 27148 34552 44947 47509 51368 54296 70631 89894 95018 141262 179788 190036 282524 359576 380072 494417 565048 988834 1977668 3955336 3961757 7923514 15847028 27732299 31694056 43579327 55464598 87158654 110929196 174317308 221858392 305055289 348634616 610110578 1220221156 2440442312