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34313344044 = 223719131337487
BaseRepresentation
bin11111111101001111…
…000001010000101100
310021120100121111001020
4133331033001100230
51030233204002134
623432514014140
72323213416630
oct377517012054
9107510544036
1034313344044
1113608a96281
126797577350
13330aba7295
141937246dc0
15d5c646b49
hex7fd3c142c

34313344044 has 192 divisors, whose sum is σ = 97541283840. Its totient is φ = 9170703360.

The previous prime is 34313344007. The next prime is 34313344081. The reversal of 34313344044 is 44044331343.

It is an interprime number because it is at equal distance from previous prime (34313344007) and next prime (34313344081).

It is a junction number, because it is equal to n+sod(n) for n = 34313343996 and 34313344014.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 70458369 + ... + 70458855.

It is an arithmetic number, because the mean of its divisors is an integer number (508027520).

Almost surely, 234313344044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34313344044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48770641920).

34313344044 is an abundant number, since it is smaller than the sum of its proper divisors (63227939796).

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

34313344044 is a wasteful number, since it uses less digits than its factorization.

34313344044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 34313344044 its reverse (44044331343), we get a palindrome (78357675387).

The spelling of 34313344044 in words is "thirty-four billion, three hundred thirteen million, three hundred forty-four thousand, forty-four".