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345630310256 = 247114311357737
BaseRepresentation
bin1010000011110010010…
…10111111111101110000
31020001010120101221221002
411001321022333331300
521130322324412011
6422440321021132
733654020110010
oct5017112777560
91201116357832
10345630310256
11123643332810
1256b9aa847a8
13267924bb8aa
1412a2b3a7c40
158ecd605c3b
hex50792bff70

345630310256 has 160 divisors (see below), whose sum is σ = 861890692608. Its totient is φ = 130363269120.

The previous prime is 345630310253. The next prime is 345630310271. The reversal of 345630310256 is 652013036543.

It is a super-2 number, since 2×3456303102562 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345630310253) 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, 5957420 + ... + 6015156.

Almost surely, 2345630310256 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 345630310256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430945346304).

345630310256 is an abundant number, since it is smaller than the sum of its proper divisors (516260382352).

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

345630310256 is a wasteful number, since it uses less digits than its factorization.

345630310256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57919 (or 57913 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 38.

Adding to 345630310256 its reverse (652013036543), we get a palindrome (997643346799).

The spelling of 345630310256 in words is "three hundred forty-five billion, six hundred thirty million, three hundred ten thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 113 154 172 176 226 301 308 344 452 473 602 616 688 791 904 946 1204 1232 1243 1582 1808 1892 2408 2486 3164 3311 3784 4816 4859 4972 6328 6622 7568 8701 9718 9944 12656 13244 17402 19436 19888 26488 34013 34804 38872 52976 53449 57737 68026 69608 77744 106898 115474 136052 139216 213796 230948 272104 374143 404159 427592 461896 544208 635107 748286 808318 855184 923792 1270214 1496572 1616636 2482691 2540428 2993144 3233272 4445749 4965382 5080856 5986288 6466544 6524281 8891498 9930764 10161712 13048562 17378837 17782996 19861528 26097124 27309601 34757674 35565992 39723056 45669967 52194248 54619202 69515348 71131984 71767091 91339934 104388496 109238404 139030696 143534182 182679868 191167207 218476808 278061392 280544083 287068364 365359736 382334414 436953616 502369637 561088166 574136728 730719472 764668828 1004739274 1122176332 1148273456 1529337656 1963808581 2009478548 2244352664 3058675312 3085984913 3927617162 4018957096 4488705328 6171969826 7855234324 8037914192 12343939652 15710468648 21601894391 24687879304 31420937296 43203788782 49375758608 86407577564 172815155128 345630310256