Search a number
-
+
2412317424 = 2431159211367
BaseRepresentation
bin1000111111001001…
…0000101011110000
320020010012102101210
42033302100223300
514420023124144
61035212200120
7113531234256
oct21762205360
96203172353
102412317424
111028765870
12573a69040
132c5a0c27a
1418c5485d6
15e1baaab9
hex8fc90af0

2412317424 has 160 divisors (see below), whose sum is σ = 6965268480. Its totient is φ = 713260800.

The previous prime is 2412317399. The next prime is 2412317429. The reversal of 2412317424 is 4247132142.

It is a junction number, because it is equal to n+sod(n) for n = 2412317391 and 2412317400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412317429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6572889 + ... + 6573255.

It is an arithmetic number, because the mean of its divisors is an integer number (43532928).

Almost surely, 22412317424 is an apocalyptic number.

2412317424 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 2412317424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482634240).

2412317424 is an abundant number, since it is smaller than the sum of its proper divisors (4552951056).

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

2412317424 is a wasteful number, since it uses less digits than its factorization.

2412317424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 2412317424 is about 49115.3481510617. The cubic root of 2412317424 is about 1341.1524621723.

Adding to 2412317424 its reverse (4247132142), we get a palindrome (6659449566).

The spelling of 2412317424 in words is "two billion, four hundred twelve million, three hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 211 236 264 354 367 422 472 528 633 649 708 734 844 944 1101 1266 1298 1416 1468 1688 1947 2202 2321 2532 2596 2832 2936 3376 3894 4037 4404 4642 5064 5192 5872 6963 7788 8074 8808 9284 10128 10384 12111 12449 13926 15576 16148 17616 18568 21653 24222 24898 27852 31152 32296 37136 37347 43306 48444 49796 55704 64592 64959 74694 77437 86612 96888 99592 111408 129918 136939 149388 154874 173224 193776 199184 232311 238183 259836 273878 298776 309748 346448 410817 464622 476366 519672 547756 597552 619496 714549 821634 851807 929244 952732 1039344 1095512 1238992 1429098 1643268 1703614 1858488 1905464 2191024 2555421 2858196 3286536 3407228 3716976 3810928 4568783 5110842 5716392 6573072 6814456 9137566 10221684 11432784 13628912 13706349 18275132 20443368 27412698 36550264 40886736 50256613 54825396 73100528 100513226 109650792 150769839 201026452 219301584 301539678 402052904 603079356 804105808 1206158712 2412317424