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334034031540 = 2235113121537583
BaseRepresentation
bin1001101110001011111…
…10101101001110110100
31011221012101221222001210
410313011332231032310
520433100203002130
6413241512321420
733063450264156
oct4670576551664
91157171858053
10334034031540
111197325589a0
12548a33a3270
1325664b9c401
141224b23cad6
158a505315b0
hex4dc5fad3b4

334034031540 has 192 divisors, whose sum is σ = 1053863903232. Its totient is φ = 78319027200.

The previous prime is 334034031533. The next prime is 334034031673. The reversal of 334034031540 is 45130430433.

It is a super-2 number, since 2×3340340315402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 334034031498 and 334034031507.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 44046589 + ... + 44054171.

It is an arithmetic number, because the mean of its divisors is an integer number (5488874496).

Almost surely, 2334034031540 is an apocalyptic number.

334034031540 is a gapful number since it is divisible by the number (30) 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 334034031540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526931951616).

334034031540 is an abundant number, since it is smaller than the sum of its proper divisors (719829871692).

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

334034031540 is a wasteful number, since it uses less digits than its factorization.

334034031540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 334034031540 its reverse (45130430433), we get a palindrome (379164461973).

The spelling of 334034031540 in words is "three hundred thirty-four billion, thirty-four million, thirty-one thousand, five hundred forty".