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10344034203432 = 23310112733601109
BaseRepresentation
bin1001011010000110100001…
…1110111111011100101000
31100121212202112021120210220
42112201220132333130220
52323434040224002212
633555552252010040
72115221545000536
oct226415036773450
940555675246726
1010344034203432
113328975704086
1211b08b0160920
135a0590a753b7
1427a922537156
1512e11336838c
hex968687bf728

10344034203432 has 64 divisors (see below), whose sum is σ = 26321765529600. Its totient is φ = 3386991686400.

The previous prime is 10344034203431. The next prime is 10344034203497. The reversal of 10344034203432 is 23430243044301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10344034203393 and 10344034203402.

It is not an unprimeable number, because it can be changed into a prime (10344034203431) 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 15 ways as a sum of consecutive naturals, for example, 16492707 + ... + 17108402.

It is an arithmetic number, because the mean of its divisors is an integer number (411277586400).

Almost surely, 210344034203432 is an apocalyptic number.

10344034203432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10344034203432 is an abundant number, since it is smaller than the sum of its proper divisors (15977731326168).

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

10344034203432 is a wasteful number, since it uses less digits than its factorization.

10344034203432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33601346 (or 33601342 counting only the distinct ones).

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

Adding to 10344034203432 its reverse (23430243044301), we get a palindrome (33774277247733).

The spelling of 10344034203432 in words is "ten trillion, three hundred forty-four billion, thirty-four million, two hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 101 127 202 254 303 381 404 508 606 762 808 1016 1212 1524 2424 3048 12827 25654 38481 51308 76962 102616 153924 307848 33601109 67202218 100803327 134404436 201606654 268808872 403213308 806426616 3393712009 4267340843 6787424018 8534681686 10181136027 12802022529 13574848036 17069363372 20362272054 25604045058 27149696072 34138726744 40724544108 51208090116 81449088216 102416180232 431001425143 862002850286 1293004275429 1724005700572 2586008550858 3448011401144 5172017101716 10344034203432