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10034104340 = 2251338592709
BaseRepresentation
bin10010101100001010…
…00100100000010100
3221220021221022111002
421112011010200110
5131022212314330
64335401402432
7503440323341
oct112605044024
927807838432
1010034104340
114289a99117
121b40499418
13c3ba9b660
146b28bd7c8
153dad97e45
hex256144814

10034104340 has 24 divisors (see below), whose sum is σ = 22692513480. Its totient is φ = 3704899968.

The previous prime is 10034104337. The next prime is 10034104343. The reversal of 10034104340 is 4340143001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10034104337) and next prime (10034104343).

It can be written as a sum of positive squares in 4 ways, for example, as 618119044 + 9415985296 = 24862^2 + 97036^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034104343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19296095 + ... + 19296614.

It is an arithmetic number, because the mean of its divisors is an integer number (945521395).

Almost surely, 210034104340 is an apocalyptic number.

10034104340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034104340 is an abundant number, since it is smaller than the sum of its proper divisors (12658409140).

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

10034104340 is a wasteful number, since it uses less digits than its factorization.

10034104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38592731 (or 38592729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10034104340 its reverse (4340143001), we get a palindrome (14374247341).

The spelling of 10034104340 in words is "ten billion, thirty-four million, one hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 38592709 77185418 154370836 192963545 385927090 501705217 771854180 1003410434 2006820868 2508526085 5017052170 10034104340