Search a number
-
+
2434404240 = 243351127039
BaseRepresentation
bin1001000100011010…
…0000111110010000
320021122202112211000
42101012200332100
514441201413430
61041321422000
7114220044312
oct22106407620
96248675730
102434404240
11103a180a34
1257b33a900
132ca4734a8
141914577b2
15e3abee60
hex911a0f90

2434404240 has 80 divisors (see below), whose sum is σ = 8385177600. Its totient is φ = 649173888.

The previous prime is 2434404229. The next prime is 2434404299. The reversal of 2434404240 is 424044342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×24344042404 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 561360 + ... + 565679.

It is an arithmetic number, because the mean of its divisors is an integer number (104814720).

Almost surely, 22434404240 is an apocalyptic number.

2434404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434404240 is an abundant number, since it is smaller than the sum of its proper divisors (5950773360).

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

2434404240 is a wasteful number, since it uses less digits than its factorization.

2434404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127061 (or 1127049 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2434404240 is about 49339.6822040840. The cubic root of 2434404240 is about 1345.2331634672.

Adding to 2434404240 its reverse (424044342), we get a palindrome (2858448582).

The spelling of 2434404240 in words is "two billion, four hundred thirty-four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 1127039 2254078 3381117 4508156 5635195 6762234 9016312 10143351 11270390 13524468 16905585 18032624 20286702 22540780 27048936 30430053 33811170 40573404 45081560 50716755 54097872 60860106 67622340 81146808 90163120 101433510 121720212 135244680 152150265 162293616 202867020 243440424 270489360 304300530 405734040 486880848 608601060 811468080 1217202120 2434404240