Search a number
-
+
34143168 = 263792251
BaseRepresentation
bin1000001000111…
…1101111000000
32101020122121210
42002033233000
532220040133
63215450120
7563132523
oct202175700
971218553
1034143168
11183002a4
12b526940
1370c5a77
14476abba
152ee6763
hex208fbc0

34143168 has 56 divisors (see below), whose sum is σ = 91521280. Its totient is φ = 11232000.

The previous prime is 34143167. The next prime is 34143169. The reversal of 34143168 is 86134143.

It is an interprime number because it is at equal distance from previous prime (34143167) and next prime (34143169).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14043 + ... + 16293.

Almost surely, 234143168 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 34143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45760640).

34143168 is an abundant number, since it is smaller than the sum of its proper divisors (57378112).

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

34143168 is a wasteful number, since it uses less digits than its factorization.

34143168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2335 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 34143168 is about 5843.2155531009. The cubic root of 34143168 is about 324.4152578292.

The spelling of 34143168 in words is "thirty-four million, one hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2251 2528 3792 4502 5056 6753 7584 9004 13506 15168 18008 27012 36016 54024 72032 108048 144064 177829 216096 355658 432192 533487 711316 1066974 1422632 2133948 2845264 4267896 5690528 8535792 11381056 17071584 34143168