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34134102 = 2332971307
BaseRepresentation
bin1000001000110…
…1100001010110
32101020012012000
42002031201112
532214242402
63215340130
7563064222
oct202154126
971205160
1034134102
11182a4502
12b521646
1370c18c2
144767782
152ee3c1c
hex208d856

34134102 has 64 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 10795680.

The previous prime is 34134101. The next prime is 34134119. The reversal of 34134102 is 20143143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111033 + ... + 111339.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 234134102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

34134102 is an abundant number, since it is smaller than the sum of its proper divisors (45699498).

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

34134102 is a wasteful number, since it uses less digits than its factorization.

34134102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34134102 is about 5842.4397301128. The cubic root of 34134102 is about 324.3865414050.

Adding to 34134102 its reverse (20143143), we get a palindrome (54277245).

It can be divided in two parts, 341 and 34102, that added together give a palindrome (34443).

The spelling of 34134102 in words is "thirty-four million, one hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 71 87 142 174 213 261 307 426 522 614 639 783 921 1278 1566 1842 1917 2059 2763 3834 4118 5526 6177 8289 8903 12354 16578 17806 18531 21797 26709 37062 43594 53418 55593 65391 80127 111186 130782 160254 196173 240381 392346 480762 588519 632113 1177038 1264226 1896339 3792678 5689017 11378034 17067051 34134102