Search a number
-
+
341343041311332 = 223230730885182891
BaseRepresentation
bin100110110011100110001111…
…0101110010101001001100100
31122202121002001110001012201200
41031213030132232111021210
5324220031022033430312
63205550454532522500
7131620135525401054
oct11547143656251144
91582532043035650
10341343041311332
1199842853030a65
123234a699a80430
1311860683c66168
14604113c945564
15296e1b0e8c0dc
hex136731eb95264

341343041311332 has 36 divisors (see below), whose sum is σ = 865649906096976. Its totient is φ = 113410391572080.

The previous prime is 341343041311249. The next prime is 341343041311351. The reversal of 341343041311332 is 233113140343143.

341343041311332 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 4 + 3 + 0 + 4 + 1 + 311 + 332 = 666.

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

It is a super-2 number, since 2×3413430413113322 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15442580394 + ... + 15442602497.

It is an arithmetic number, because the mean of its divisors is an integer number (24045830724916).

Almost surely, 2341343041311332 is an apocalyptic number.

It is an amenable number.

341343041311332 is an abundant number, since it is smaller than the sum of its proper divisors (524306864785644).

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

341343041311332 is a wasteful number, since it uses less digits than its factorization.

341343041311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30885183208 (or 30885183203 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 341343041311332 its reverse (233113140343143), we get a palindrome (574456181654475).

The spelling of 341343041311332 in words is "three hundred forty-one trillion, three hundred forty-three billion, forty-one million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 307 614 921 1228 1842 2763 3684 5526 11052 30885182891 61770365782 92655548673 123540731564 185311097346 277966646019 370622194692 555933292038 1111866584076 9481751147537 18963502295074 28445253442611 37927004590148 56890506885222 85335760327833 113781013770444 170671520655666 341343041311332