Search a number
-
+
241430040 = 23325670639
BaseRepresentation
bin11100110001111…
…10111000011000
3121211021220202100
432120332320120
5443301230130
635542403400
75661056445
oct1630767030
9554256670
10241430040
1111430aa65
1268a30560
133b031a17
14240c89cc
15162dec60
hexe63ee18

241430040 has 48 divisors (see below), whose sum is σ = 784648800. Its totient is φ = 64381248.

The previous prime is 241430029. The next prime is 241430041. The reversal of 241430040 is 40034142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241429995 and 241430022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241430041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334960 + ... + 335679.

It is an arithmetic number, because the mean of its divisors is an integer number (16346850).

Almost surely, 2241430040 is an apocalyptic number.

241430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241430040 is an abundant number, since it is smaller than the sum of its proper divisors (543218760).

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

241430040 is a wasteful number, since it uses less digits than its factorization.

241430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670656 (or 670649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 241430040 is about 15538.0191787757. The cubic root of 241430040 is about 622.6783540814.

Adding to 241430040 its reverse (40034142), we get a palindrome (281464182).

The spelling of 241430040 in words is "two hundred forty-one million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 670639 1341278 2011917 2682556 3353195 4023834 5365112 6035751 6706390 8047668 10059585 12071502 13412780 16095336 20119170 24143004 26825560 30178755 40238340 48286008 60357510 80476680 120715020 241430040