Search a number
-
+
343213325244 = 223217560806087
BaseRepresentation
bin1001111111010010001…
…10111011101110111100
31012210220010102101210200
410333221012323232330
521110400102401434
6421400420403500
733540101062326
oct4775106735674
91183803371720
10343213325244
11122612a7a139
1256625546590
1326498836c4a
141287c3a6616
158ddb327199
hex4fe91bbbbc

343213325244 has 36 divisors (see below), whose sum is σ = 918600372144. Its totient is φ = 107674768512.

The previous prime is 343213325171. The next prime is 343213325249. The reversal of 343213325244 is 442523312343.

343213325244 is a `hidden beast` number, since 3 + 4 + 321 + 3 + 325 + 2 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 343213325199 and 343213325208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343213325249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280402432 + ... + 280403655.

It is an arithmetic number, because the mean of its divisors is an integer number (25516677004).

Almost surely, 2343213325244 is an apocalyptic number.

343213325244 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

343213325244 is an abundant number, since it is smaller than the sum of its proper divisors (575387046900).

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

343213325244 is a wasteful number, since it uses less digits than its factorization.

343213325244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560806114 (or 560806109 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 343213325244 its reverse (442523312343), we get a palindrome (785736637587).

The spelling of 343213325244 in words is "three hundred forty-three billion, two hundred thirteen million, three hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 560806087 1121612174 1682418261 2243224348 3364836522 5047254783 6729673044 9533703479 10094509566 19067406958 20189019132 28601110437 38134813916 57202220874 85803331311 114404441748 171606662622 343213325244