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341683278664 = 2372131719416183
BaseRepresentation
bin1001111100011011110…
…10010001001101001000
31012122221111100222110211
410332031322101031020
521044231404404124
6420544522250504
733454141643200
oct4761572211510
91178844328424
10341683278664
111219a8337532
1256279056a34
13262b3854740
14127750c1400
158d4bd44e94
hex4f8de91348

341683278664 has 768 divisors, whose sum is σ = 942577171200. Its totient is φ = 114263654400.

The previous prime is 341683278661. The next prime is 341683278689. The reversal of 341683278664 is 466872386143.

Its product of digits (27869184) is a multiple of the sum of its prime divisors (243).

It is a junction number, because it is equal to n+sod(n) for n = 341683278599 and 341683278608.

It is not an unprimeable number, because it can be changed into a prime (341683278661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4116665967 + ... + 4116666049.

It is an arithmetic number, because the mean of its divisors is an integer number (1227314025).

Almost surely, 2341683278664 is an apocalyptic number.

341683278664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341683278664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471288585600).

341683278664 is an abundant number, since it is smaller than the sum of its proper divisors (600893892536).

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

341683278664 is a wasteful number, since it uses less digits than its factorization.

341683278664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 58.

The spelling of 341683278664 in words is "three hundred forty-one billion, six hundred eighty-three million, two hundred seventy-eight thousand, six hundred sixty-four".