Search a number
-
+
34021440 = 2632511813
BaseRepresentation
bin1000000111001…
…0000001000000
32101000110122100
42001302001000
532202141230
63213110400
7562114605
oct201620100
971013570
1034021440
11182278a2
12b488400
13708253b
1447386ac
152ec0660
hex2072040

34021440 has 84 divisors (see below), whose sum is σ = 117029484. Its totient is φ = 9071616.

The previous prime is 34021409. The next prime is 34021447. The reversal of 34021440 is 4412043.

It can be written as a sum of positive squares in 2 ways, for example, as 12787776 + 21233664 = 3576^2 + 4608^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34021447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3027 + ... + 8786.

Almost surely, 234021440 is an apocalyptic number.

34021440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34021440 is an abundant number, since it is smaller than the sum of its proper divisors (83008044).

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

34021440 is a wasteful number, since it uses less digits than its factorization.

34021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34021440 is about 5832.7900699408. The cubic root of 34021440 is about 324.0292611890.

Adding to 34021440 its reverse (4412043), we get a palindrome (38433483).

The spelling of 34021440 in words is "thirty-four million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 11813 23626 35439 47252 59065 70878 94504 106317 118130 141756 177195 189008 212634 236260 283512 354390 378016 425268 472520 531585 567024 708780 756032 850536 945040 1063170 1134048 1417560 1701072 1890080 2126340 2268096 2835120 3402144 3780160 4252680 5670240 6804288 8505360 11340480 17010720 34021440