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241332640 = 2552396311
BaseRepresentation
bin11100110001001…
…11000110100000
3121211002222010221
432120213012200
5443240121030
635540332424
75660202463
oct1630470640
9554088127
10241332640
1111425386a
12689a4114
133acc95a3
14240a12da
15162c0e7a
hexe6271a0

241332640 has 48 divisors (see below), whose sum is σ = 572624640. Its totient is φ = 96113920.

The previous prime is 241332599. The next prime is 241332643. The reversal of 241332640 is 46233142.

It is not an unprimeable number, because it can be changed into a prime (241332643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35085 + ... + 41395.

It is an arithmetic number, because the mean of its divisors is an integer number (11929680).

Almost surely, 2241332640 is an apocalyptic number.

241332640 is a gapful number since it is divisible by the number (20) 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 241332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286312320).

241332640 is an abundant number, since it is smaller than the sum of its proper divisors (331292000).

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

241332640 is a wasteful number, since it uses less digits than its factorization.

241332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6565 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 241332640 is about 15534.8846149561. The cubic root of 241332640 is about 622.5946072130.

Adding to 241332640 its reverse (46233142), we get a palindrome (287565782).

It can be divided in two parts, 2413 and 32640, that added together give a palindrome (35053).

The spelling of 241332640 in words is "two hundred forty-one million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1912 2390 3824 4780 6311 7648 9560 12622 19120 25244 31555 38240 50488 63110 100976 126220 201952 252440 504880 1009760 1508329 3016658 6033316 7541645 12066632 15083290 24133264 30166580 48266528 60333160 120666320 241332640