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242313456 = 243711531237
BaseRepresentation
bin11100111000101…
…10100011110000
3121212221210120110
432130112203300
5444013012311
640013341320
76001426140
oct1634264360
9555853513
10242313456
11114863760
1269197840
133b280b58
1424278920
15164168a6
hexe7168f0

242313456 has 160 divisors (see below), whose sum is σ = 795806208. Its totient is φ = 61701120.

The previous prime is 242313433. The next prime is 242313457. The reversal of 242313456 is 654313242.

242313456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242313457) 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, 195270 + ... + 196506.

Almost surely, 2242313456 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 242313456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397903104).

242313456 is an abundant number, since it is smaller than the sum of its proper divisors (553492752).

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

242313456 is a wasteful number, since it uses less digits than its factorization.

242313456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 242313456 is about 15566.4207832115. The cubic root of 242313456 is about 623.4369098442.

Adding to 242313456 its reverse (654313242), we get a palindrome (896626698).

The spelling of 242313456 in words is "two hundred forty-two million, three hundred thirteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 53 56 66 77 84 88 106 112 132 154 159 168 176 212 231 264 308 318 336 371 424 462 528 583 616 636 742 848 924 1113 1166 1232 1237 1272 1484 1749 1848 2226 2332 2474 2544 2968 3498 3696 3711 4081 4452 4664 4948 5936 6996 7422 8162 8659 8904 9328 9896 12243 13607 13992 14844 16324 17318 17808 19792 24486 25977 27214 27984 29688 32648 34636 40821 48972 51954 54428 59376 65296 65561 69272 81642 95249 97944 103908 108856 131122 138544 163284 190498 195888 196683 207816 217712 262244 285747 326568 380996 393366 415632 458927 524488 571494 653136 721171 761992 786732 917854 1048976 1142988 1376781 1442342 1523984 1573464 1835708 2163513 2285976 2753562 2884684 3146928 3671416 4327026 4571952 5048197 5507124 5769368 7342832 8654052 10096394 11014248 11538736 15144591 17308104 20192788 22028496 30289182 34616208 40385576 60578364 80771152 121156728 242313456