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34101342 = 232111571097
BaseRepresentation
bin1000001000010…
…1100001011110
32101011112020200
42002011201132
532212220332
63214524330
7562566552
oct202054136
971145220
1034101342
1118281930
12b5066a6
1370aca12
144759862
152ed917c
hex208585e

34101342 has 48 divisors (see below), whose sum is σ = 81190512. Its totient is φ = 10258560.

The previous prime is 34101311. The next prime is 34101349. The reversal of 34101342 is 24310143.

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 (34101349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30538 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (1691469).

Almost surely, 234101342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34101342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40595256).

34101342 is an abundant number, since it is smaller than the sum of its proper divisors (47089170).

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

34101342 is a wasteful number, since it uses less digits than its factorization.

34101342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1270 counting only the distinct ones).

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

The square root of 34101342 is about 5839.6354338263. The cubic root of 34101342 is about 324.2827321742.

Adding to 34101342 its reverse (24310143), we get a palindrome (58411485).

It can be divided in two parts, 34101 and 342, that added together give a palindrome (34443).

The spelling of 34101342 in words is "thirty-four million, one hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1097 1413 1727 2194 2826 3291 3454 5181 6582 9873 10362 12067 15543 19746 24134 31086 36201 72402 108603 172229 217206 344458 516687 1033374 1550061 1894519 3100122 3789038 5683557 11367114 17050671 34101342