Search a number
-
+
34234240 = 275149359
BaseRepresentation
bin1000001010010…
…1111110000000
32101102021112211
42002211332000
532230443430
63221431504
7563662165
oct202457600
971367484
1034234240
1118362767
12b56b594
137128361
14479206c
15301372a
hex20a5f80

34234240 has 64 divisors (see below), whose sum is σ = 82620000. Its totient is φ = 13563904.

The previous prime is 34234231. The next prime is 34234241. The reversal of 34234240 is 4243243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34234241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95181 + ... + 95539.

Almost surely, 234234240 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 34234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41310000).

34234240 is an abundant number, since it is smaller than the sum of its proper divisors (48385760).

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

34234240 is a wasteful number, since it uses less digits than its factorization.

34234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34234240 is about 5851.0033327627. The cubic root of 34234240 is about 324.7034454599.

Adding to 34234240 its reverse (4243243), we get a palindrome (38477483).

The spelling of 34234240 in words is "thirty-four million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 359 596 640 718 745 1192 1436 1490 1795 2384 2872 2980 3590 4768 5744 5960 7180 9536 11488 11920 14360 19072 22976 23840 28720 45952 47680 53491 57440 95360 106982 114880 213964 229760 267455 427928 534910 855856 1069820 1711712 2139640 3423424 4279280 6846848 8558560 17117120 34234240