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34378160032 = 2510310430267
BaseRepresentation
bin100000000001000110…
…010001011110100000
310021201212120110212101
4200001012101132200
51030401302110112
623443151140144
72324631352546
oct400106213640
9107655513771
1034378160032
1113641636507
1267b5214654
13331b44c338
141941ab9d96
15d6319b757
hex8011917a0

34378160032 has 24 divisors (see below), whose sum is σ = 68339115936. Its totient is φ = 17022194112.

The previous prime is 34378160023. The next prime is 34378160039. The reversal of 34378160032 is 23006187343.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34378159973 and 34378160000.

It is not an unprimeable number, because it can be changed into a prime (34378160039) 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 3 ways as a sum of consecutive naturals, for example, 5211838 + ... + 5218429.

It is an arithmetic number, because the mean of its divisors is an integer number (2847463164).

Almost surely, 234378160032 is an apocalyptic number.

34378160032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34378160032 is a deficient number, since it is larger than the sum of its proper divisors (33960955904).

34378160032 is a wasteful number, since it uses less digits than its factorization.

34378160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430380 (or 10430372 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 34378160032 in words is "thirty-four billion, three hundred seventy-eight million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 103 206 412 824 1648 3296 10430267 20860534 41721068 83442136 166884272 333768544 1074317501 2148635002 4297270004 8594540008 17189080016 34378160032