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34121346 = 2372176827
BaseRepresentation
bin1000001000101…
…0011010000010
32101012112200120
42002022122002
532213340341
63215201110
7563012100
oct202123202
971175616
1034121346
1118295966
12b516196
1370b8b5c
144762c70
152ee0066
hex208a682

34121346 has 48 divisors (see below), whose sum is σ = 84066336. Its totient is φ = 9174144.

The previous prime is 34121341. The next prime is 34121369. The reversal of 34121346 is 64312143.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34121341) 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, 1585 + ... + 8411.

It is an arithmetic number, because the mean of its divisors is an integer number (1751382).

Almost surely, 234121346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34121346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42033168).

34121346 is an abundant number, since it is smaller than the sum of its proper divisors (49944990).

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

34121346 is a wasteful number, since it uses less digits than its factorization.

34121346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863 (or 6856 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 34121346 is about 5841.3479608734. The cubic root of 34121346 is about 324.3461283475.

Adding to 34121346 its reverse (64312143), we get a palindrome (98433489).

The spelling of 34121346 in words is "thirty-four million, one hundred twenty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 6827 13654 20481 40962 47789 95578 116059 143367 232118 286734 334523 348177 669046 696354 812413 1003569 1624826 2007138 2437239 4874478 5686891 11373782 17060673 34121346