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241213104 = 243211197773
BaseRepresentation
bin11100110000010…
…01111010110000
3121210212220011200
432120021322300
5443222304404
635534011200
75656164126
oct1630117260
9553786150
10241213104
11114181a80
1268946b00
133ac87062
142406d916
151629a839
hexe609eb0

241213104 has 120 divisors (see below), whose sum is σ = 741126672. Its totient is φ = 72629760.

The previous prime is 241213103. The next prime is 241213171. The reversal of 241213104 is 401312142.

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

It is not an unprimeable number, because it can be changed into a prime (241213103) 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 23 ways as a sum of consecutive naturals, for example, 311662 + ... + 312434.

Almost surely, 2241213104 is an apocalyptic number.

241213104 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 241213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370563336).

241213104 is an abundant number, since it is smaller than the sum of its proper divisors (499913568).

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

241213104 is a wasteful number, since it uses less digits than its factorization.

241213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 241213104 is about 15531.0367973294. The cubic root of 241213104 is about 622.4917964758.

Adding to 241213104 its reverse (401312142), we get a palindrome (642525246).

It can be divided in two parts, 24121 and 3104, that added together give a square (27225 = 1652).

The spelling of 241213104 in words is "two hundred forty-one million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 197 198 264 394 396 528 591 773 788 792 1182 1546 1576 1584 1773 2167 2319 2364 3092 3152 3546 4334 4638 4728 6184 6501 6957 7092 8503 8668 9276 9456 12368 13002 13914 14184 17006 17336 18552 19503 25509 26004 27828 28368 34012 34672 37104 39006 51018 52008 55656 68024 76527 78012 102036 104016 111312 136048 152281 153054 156024 204072 304562 306108 312048 408144 456843 609124 612216 913686 1218248 1224432 1370529 1675091 1827372 2436496 2741058 3350182 3654744 5025273 5482116 6700364 7309488 10050546 10964232 13400728 15075819 20101092 21928464 26801456 30151638 40202184 60303276 80404368 120606552 241213104