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34143104 = 271571699
BaseRepresentation
bin1000001000111…
…1101110000000
32101020122112102
42002033232000
532220034404
63215445532
7563132402
oct202175600
971218472
1034143104
1118300246
12b5268a8
1370c5a28
14476ab72
152ee671e
hex208fb80

34143104 has 32 divisors (see below), whose sum is σ = 68493000. Its totient is φ = 16952832.

The previous prime is 34143073. The next prime is 34143113. The reversal of 34143104 is 40134143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19247 + ... + 20945.

Almost surely, 234143104 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 34143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34246500).

34143104 is an abundant number, since it is smaller than the sum of its proper divisors (34349896).

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

34143104 is a wasteful number, since it uses less digits than its factorization.

34143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1858 counting only the distinct ones).

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

The square root of 34143104 is about 5843.2100766616. The cubic root of 34143104 is about 324.4150551279.

Adding to 34143104 its reverse (40134143), we get a palindrome (74277247).

The spelling of 34143104 in words is "thirty-four million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 1699 2512 3398 5024 6796 10048 13592 20096 27184 54368 108736 217472 266743 533486 1066972 2133944 4267888 8535776 17071552 34143104