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34024132001 = 234195636271
BaseRepresentation
bin11111101011111111…
…110000110110100001
310020211012101222201002
4133223333300312201
51024140134211001
623344103121345
72313102231056
oct375377606641
9106735358632
1034024132001
111347a80aa62
126716743255
133292cb58b2
14190aa8102d
15d4206946b
hex7ebff0da1

34024132001 has 16 divisors (see below), whose sum is σ = 35657072640. Its totient is φ = 32404313040.

The previous prime is 34024131997. The next prime is 34024132003. The reversal of 34024132001 is 10023142043.

It is a cyclic number.

It is not a de Polignac number, because 34024132001 - 22 = 34024131997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34024132003) 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, 5422496 + ... + 5428766.

It is an arithmetic number, because the mean of its divisors is an integer number (2228567040).

Almost surely, 234024132001 is an apocalyptic number.

It is an amenable number.

34024132001 is a deficient number, since it is larger than the sum of its proper divisors (1632940639).

34024132001 is a wasteful number, since it uses less digits than its factorization.

34024132001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276.

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

Adding to 34024132001 its reverse (10023142043), we get a palindrome (44047274044).

The spelling of 34024132001 in words is "thirty-four billion, twenty-four million, one hundred thirty-two thousand, one".

Divisors: 1 23 419 563 6271 9637 12949 144233 235897 2627549 3530573 5425631 60433627 81203179 1479310087 34024132001