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34320240 = 2433515889
BaseRepresentation
bin1000001011101…
…0111101110000
32101120122112000
42002322331300
532241221430
63223334000
7564501003
oct202727560
971518460
1034320240
1118411339
12b5b1300
137158546
1447b553a
15302de60
hex20baf70

34320240 has 80 divisors (see below), whose sum is σ = 118221600. Its totient is φ = 9151488.

The previous prime is 34320233. The next prime is 34320257. The reversal of 34320240 is 4202343.

34320240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 5785 + ... + 10104.

It is an arithmetic number, because the mean of its divisors is an integer number (1477770).

Almost surely, 234320240 is an apocalyptic number.

34320240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34320240 is an abundant number, since it is smaller than the sum of its proper divisors (83901360).

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

34320240 is a wasteful number, since it uses less digits than its factorization.

34320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15911 (or 15899 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34320240 is about 5858.3478899772. The cubic root of 34320240 is about 324.9751144654.

Adding to 34320240 its reverse (4202343), we get a palindrome (38522583).

The spelling of 34320240 in words is "thirty-four million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 15889 31778 47667 63556 79445 95334 127112 143001 158890 190668 238335 254224 286002 317780 381336 429003 476670 572004 635560 715005 762672 858006 953340 1144008 1271120 1430010 1716012 1906680 2145015 2288016 2860020 3432024 3813360 4290030 5720040 6864048 8580060 11440080 17160120 34320240