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334396642104 = 233271799139383
BaseRepresentation
bin1001101110110111001…
…01111101001100111000
31011222010200021111020200
410313123211331030320
520434321020021404
6413341504322200
733105442362630
oct4673345751470
91158120244220
10334396642104
111198a9206648
1254984913360
13256c204c485
141228346d6c0
158a722ab839
hex4ddb97d338

334396642104 has 192 divisors, whose sum is σ = 1097055498240. Its totient is φ = 89828766720.

The previous prime is 334396642103. The next prime is 334396642109. The reversal of 334396642104 is 401246693433.

334396642104 is a `hidden beast` number, since 3 + 343 + 96 + 6 + 4 + 210 + 4 = 666.

It is a super-2 number, since 2×3343966421042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334396642104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334396642103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8471197 + ... + 8510579.

It is an arithmetic number, because the mean of its divisors is an integer number (5713830720).

Almost surely, 2334396642104 is an apocalyptic number.

334396642104 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 334396642104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548527749120).

334396642104 is an abundant number, since it is smaller than the sum of its proper divisors (762658856136).

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

334396642104 is a wasteful number, since it uses less digits than its factorization.

334396642104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40410 (or 40403 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 334396642104 in words is "three hundred thirty-four billion, three hundred ninety-six million, six hundred forty-two thousand, one hundred four".