Search a number
-
+
343133233344 = 26331118052043
BaseRepresentation
bin1001111111001000101…
…01011010000011000000
31012210200112201022101000
410333210111122003000
521110214101431334
6421344440012000
733535106234256
oct4774425320300
91183615638330
10343133233344
11122581845990
1256602761000
1326485073aa5
14128718b85d6
158dd42a6299
hex4fe455a0c0

343133233344 has 112 divisors (see below), whose sum is σ = 1100452602240. Its totient is φ = 103979761920.

The previous prime is 343133233337. The next prime is 343133233351. The reversal of 343133233344 is 443332331343.

343133233344 is a `hidden beast` number, since 3 + 4 + 313 + 3 + 2 + 3 + 334 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (343133233337) and next prime (343133233351).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 343133233299 and 343133233308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9007014 + ... + 9045029.

Almost surely, 2343133233344 is an apocalyptic number.

It is an amenable number.

343133233344 is an abundant number, since it is smaller than the sum of its proper divisors (757319368896).

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

343133233344 is a wasteful number, since it uses less digits than its factorization.

343133233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18052075 (or 18052059 counting only the distinct ones).

The product of its digits is 279936, while the sum is 36.

Adding to 343133233344 its reverse (443332331343), we get a palindrome (786465564687).

The spelling of 343133233344 in words is "three hundred forty-three billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 18052043 36104086 54156129 72208172 108312258 144416344 162468387 198572473 216624516 288832688 324936774 397144946 433249032 487405161 577665376 595717419 649873548 794289892 866498064 974810322 1155330752 1191434838 1299747096 1588579784 1732996128 1787152257 1949620644 2382869676 2599494192 3177159568 3465992256 3574304514 3899241288 4765739352 5198988384 5361456771 6354319136 7148609028 7798482576 9531478704 10397976768 10722913542 12708638272 14297218056 15596965152 19062957408 21445827084 28594436112 31193930304 38125914816 42891654168 57188872224 85783308336 114377744448 171566616672 343133233344