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34102134 = 235116379
BaseRepresentation
bin1000001000010…
…1101101110110
32101011120100000
42002011231312
532212232014
63214532130
7562602063
oct202055566
971146300
1034102134
1118282490
12b507046
1370b01a1
144759c6a
152ed9509
hex2085b76

34102134 has 48 divisors (see below), whose sum is σ = 83603520. Its totient is φ = 10332360.

The previous prime is 34102109. The next prime is 34102151. The reversal of 34102134 is 43120143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157 + ... + 8535.

It is an arithmetic number, because the mean of its divisors is an integer number (1741740).

Almost surely, 234102134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34102134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41801760).

34102134 is an abundant number, since it is smaller than the sum of its proper divisors (49501386).

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

34102134 is a wasteful number, since it uses less digits than its factorization.

34102134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6395 counting only the distinct ones).

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

The square root of 34102134 is about 5839.7032458850. The cubic root of 34102134 is about 324.2852426320.

Adding to 34102134 its reverse (43120143), we get a palindrome (77222277).

Subtracting 34102134 from its reverse (43120143), we obtain a square (9018009 = 30032).

The spelling of 34102134 in words is "thirty-four million, one hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 5346 6379 12758 19137 38274 57411 70169 114822 140338 172233 210507 344466 421014 516699 631521 1033398 1263042 1550097 1894563 3100194 3789126 5683689 11367378 17051067 34102134