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241315440 = 24351005481
BaseRepresentation
bin11100110001000…
…10111001110000
3121211002002112220
432120202321300
5443234043230
635540121040
75660101362
oct1630427160
9554062486
10241315440
11114241953
1268996180
133acc1802
1424098d32
15162bad10
hexe622e70

241315440 has 40 divisors (see below), whose sum is σ = 748078608. Its totient is φ = 64350720.

The previous prime is 241315423. The next prime is 241315453. The reversal of 241315440 is 44513142.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 241315440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502501 + ... + 502980.

Almost surely, 2241315440 is an apocalyptic number.

241315440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241315440 is an abundant number, since it is smaller than the sum of its proper divisors (506763168).

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

241315440 is a wasteful number, since it uses less digits than its factorization.

241315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005497 (or 1005491 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 241315440 is about 15534.3310123095. The cubic root of 241315440 is about 622.5798158975.

Adding to 241315440 its reverse (44513142), we get a palindrome (285828582).

The spelling of 241315440 in words is "two hundred forty-one million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1005481 2010962 3016443 4021924 5027405 6032886 8043848 10054810 12065772 15082215 16087696 20109620 24131544 30164430 40219240 48263088 60328860 80438480 120657720 241315440