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1241223324 = 223112531272
BaseRepresentation
bin100100111111011…
…1001000010011100
310012111120200022020
41021332321002130
510020223121244
6323055420140
742521136615
oct11176710234
93174520266
101241223324
11587702500
122a7824650
1316a1c8a93
14babc0c0c
1573e7ed19
hex49fb909c

1241223324 has 108 divisors (see below), whose sum is σ = 3269217672. Its totient is φ = 366125760.

The previous prime is 1241223283. The next prime is 1241223367. The reversal of 1241223324 is 4233221421.

It is a happy number.

1241223324 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1241223294 and 1241223303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9773349 + ... + 9773475.

It is an arithmetic number, because the mean of its divisors is an integer number (30270534).

Almost surely, 21241223324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241223324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634608836).

1241223324 is an abundant number, since it is smaller than the sum of its proper divisors (2027994348).

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

1241223324 is a wasteful number, since it uses less digits than its factorization.

1241223324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 196 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 1241223324 is about 35230.9994748943. Note that the first 3 decimals coincide. The cubic root of 1241223324 is about 1074.6902511943.

Adding to 1241223324 its reverse (4233221421), we get a palindrome (5474444745).

The spelling of 1241223324 in words is "one billion, two hundred forty-one million, two hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 121 127 132 159 212 242 254 318 363 381 484 508 583 636 726 762 1166 1397 1452 1524 1749 2332 2794 3498 4191 5588 6413 6731 6996 8382 12826 13462 15367 16129 16764 19239 20193 25652 26924 30734 32258 38478 40386 46101 48387 61468 64516 74041 76956 80772 92202 96774 148082 177419 184404 193548 222123 296164 354838 444246 532257 709676 814451 854837 888492 1064514 1628902 1709674 1951609 2129028 2443353 2564511 3257804 3419348 3903218 4886706 5129022 5854827 7806436 9403207 9773412 10258044 11709654 18806414 23419308 28209621 37612828 56419242 103435277 112838484 206870554 310305831 413741108 620611662 1241223324