Search a number
-
+
241420704 = 25371013557
BaseRepresentation
bin11100110001111…
…00100110100000
3121211021102221120
432120330212200
5443300430304
635542252240
75661020310
oct1630744640
9554242846
10241420704
11114303a48
1268a27080
133b02a6b5
14240c5440
15162dc0d9
hexe63c9a0

241420704 has 96 divisors (see below), whose sum is σ = 731638656. Its totient is φ = 68275200.

The previous prime is 241420703. The next prime is 241420727. The reversal of 241420704 is 407024142.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (241420703) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 66094 + ... + 69650.

It is an arithmetic number, because the mean of its divisors is an integer number (7621236).

Almost surely, 2241420704 is an apocalyptic number.

241420704 is a gapful number since it is divisible by the number (24) 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 241420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365819328).

241420704 is an abundant number, since it is smaller than the sum of its proper divisors (490217952).

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

241420704 is a wasteful number, since it uses less digits than its factorization.

241420704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 241420704 is about 15537.7187514770. The cubic root of 241420704 is about 622.6703277397.

Adding to 241420704 its reverse (407024142), we get a palindrome (648444846).

The spelling of 241420704 in words is "two hundred forty-one million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 3557 4242 4848 5656 7114 8484 9696 10671 11312 14228 16968 21342 22624 24899 28456 33936 42684 49798 56912 67872 74697 85368 99596 113824 149394 170736 199192 298788 341472 359257 398384 597576 718514 796768 1077771 1195152 1437028 2155542 2390304 2514799 2874056 4311084 5029598 5748112 7544397 8622168 10059196 11496224 15088794 17244336 20118392 30177588 34488672 40236784 60355176 80473568 120710352 241420704