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2440213104 = 243731323203
BaseRepresentation
bin1001000101110010…
…1011001001110000
320022001200200002010
42101130223021300
514444143304404
61042050122520
7114320316630
oct22134531160
96261620063
102440213104
11104248924a
12581280440
132cb7284a4
1419212a6c0
15e436b189
hex9172b270

2440213104 has 80 divisors (see below), whose sum is σ = 7227767552. Its totient is φ = 694946304.

The previous prime is 2440213079. The next prime is 2440213117. The reversal of 2440213104 is 4013120442.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 93567 + ... + 116769.

Almost surely, 22440213104 is an apocalyptic number.

2440213104 is a gapful number since it is divisible by the number (24) 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 2440213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613883776).

2440213104 is an abundant number, since it is smaller than the sum of its proper divisors (4787554448).

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

2440213104 is a wasteful number, since it uses less digits than its factorization.

2440213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23534 (or 23528 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2440213104 is about 49398.5131760056. The cubic root of 2440213104 is about 1346.3022914885.

Adding to 2440213104 its reverse (4013120442), we get a palindrome (6453333546).

The spelling of 2440213104 in words is "two billion, four hundred forty million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 313 336 626 939 1252 1878 2191 2504 3756 4382 5008 6573 7512 8764 13146 15024 17528 23203 26292 35056 46406 52584 69609 92812 105168 139218 162421 185624 278436 324842 371248 487263 556872 649684 974526 1113744 1299368 1949052 2598736 3898104 7262539 7796208 14525078 21787617 29050156 43575234 50837773 58100312 87150468 101675546 116200624 152513319 174300936 203351092 305026638 348601872 406702184 610053276 813404368 1220106552 2440213104