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34321140 = 22325727239
BaseRepresentation
bin1000001011101…
…1001011110100
32101120200202100
42002323023310
532241234030
63223342100
7564503430
oct202731364
971520670
1034321140
1118411a87
12b5b1930
137158a89
1447b59c0
15302e360
hex20bb2f4

34321140 has 72 divisors (see below), whose sum is σ = 118984320. Its totient is φ = 7844544.

The previous prime is 34321121. The next prime is 34321153. The reversal of 34321140 is 4112343.

34321140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12360 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (1652560).

Almost surely, 234321140 is an apocalyptic number.

34321140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34321140 is an abundant number, since it is smaller than the sum of its proper divisors (84663180).

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

34321140 is a wasteful number, since it uses less digits than its factorization.

34321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27261 (or 27256 counting only the distinct ones).

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

The square root of 34321140 is about 5858.4247029385. The cubic root of 34321140 is about 324.9779551122.

Adding to 34321140 its reverse (4112343), we get a palindrome (38433483).

The spelling of 34321140 in words is "thirty-four million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 27239 54478 81717 108956 136195 163434 190673 245151 272390 326868 381346 408585 490302 544780 572019 762692 817170 953365 980604 1144038 1225755 1634340 1716057 1906730 2288076 2451510 2860095 3432114 3813460 4903020 5720190 6864228 8580285 11440380 17160570 34321140