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341816693472 = 25331961341347
BaseRepresentation
bin1001111100101011101…
…11001101001011100000
31012200021210102011012000
410332111313031023200
521100020033142342
6421010050004000
733460351645512
oct4762567151340
91180253364160
10341816693472
11121a66681001
12562b5876600
1326305397607
1412788acdbb2
158d588ea44c
hex4f95dcd2e0

341816693472 has 192 divisors, whose sum is σ = 1066644230400. Its totient is φ = 106172259840.

The previous prime is 341816693467. The next prime is 341816693473. The reversal of 341816693472 is 274396618143.

341816693472 is a `hidden beast` number, since 3 + 4 + 1 + 8 + 166 + 9 + 3 + 472 = 666.

It is a super-2 number, since 2×3418166934722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341816693473) 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, 830703 + ... + 1172049.

It is an arithmetic number, because the mean of its divisors is an integer number (5555438700).

Almost surely, 2341816693472 is an apocalyptic number.

341816693472 is a gapful number since it is divisible by the number (32) 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 341816693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533322115200).

341816693472 is an abundant number, since it is smaller than the sum of its proper divisors (724827536928).

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

341816693472 is a wasteful number, since it uses less digits than its factorization.

341816693472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341446 (or 341432 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 341816693472 in words is "three hundred forty-one billion, eight hundred sixteen million, six hundred ninety-three thousand, four hundred seventy-two".