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2440105430 = 25736171153
BaseRepresentation
bin1001000101110001…
…0000110111010110
320022001111012101012
42101130100313112
514444131333210
61042043532222
7114316361000
oct22134206726
96261435335
102440105430
111042415364
1258122a072
132cb6bb489
141920dd370
15e4349305
hex91710dd6

2440105430 has 64 divisors (see below), whose sum is σ = 5134838400. Its totient is φ = 834527232.

The previous prime is 2440105427. The next prime is 2440105433. The reversal of 2440105430 is 345010442.

It is an interprime number because it is at equal distance from previous prime (2440105427) and next prime (2440105433).

It is a super-2 number, since 2×24401054302 = 11908229019030969800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2440105396 and 2440105405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440105433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2115734 + ... + 2116886.

It is an arithmetic number, because the mean of its divisors is an integer number (80231850).

Almost surely, 22440105430 is an apocalyptic number.

2440105430 is an abundant number, since it is smaller than the sum of its proper divisors (2694732970).

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

2440105430 is a wasteful number, since it uses less digits than its factorization.

2440105430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2440105430 is about 49397.4233133673. The cubic root of 2440105430 is about 1346.2824894086.

Adding to 2440105430 its reverse (345010442), we get a palindrome (2785115872).

The spelling of 2440105430 in words is "two billion, four hundred forty million, one hundred five thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 617 686 1153 1234 1715 2306 3085 3430 4319 5765 6170 8071 8638 11530 16142 21595 30233 40355 43190 56497 60466 80710 112994 151165 211631 282485 302330 395479 423262 564970 711401 790958 1058155 1422802 1977395 2116310 3557005 3954790 4979807 7114010 9959614 24899035 34858649 49798070 69717298 174293245 244010543 348586490 488021086 1220052715 2440105430