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34324320 = 2535431663
BaseRepresentation
bin1000001011101…
…1111101100000
32101120212010010
42002323331200
532241334240
63223404520
7564515622
oct202737540
971525103
1034324320
1118414408
12b5b3740
13715a364
1447b6c12
153030280
hex20bbf60

34324320 has 96 divisors (see below), whose sum is σ = 110702592. Its totient is φ = 8934912.

The previous prime is 34324307. The next prime is 34324331. The reversal of 34324320 is 2342343.

34324320 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 (96).

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, 19809 + ... + 21471.

It is an arithmetic number, because the mean of its divisors is an integer number (1153152).

Almost surely, 234324320 is an apocalyptic number.

34324320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55351296).

34324320 is an abundant number, since it is smaller than the sum of its proper divisors (76378272).

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

34324320 is a wasteful number, since it uses less digits than its factorization.

34324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 34324320 is about 5858.6961006695. The cubic root of 34324320 is about 324.9879916668.

Adding to 34324320 its reverse (2342343), we get a palindrome (36666663).

The spelling of 34324320 in words is "thirty-four million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1663 1720 2064 2580 3326 3440 4128 4989 5160 6652 6880 8315 9978 10320 13304 16630 19956 20640 24945 26608 33260 39912 49890 53216 66520 71509 79824 99780 133040 143018 159648 199560 214527 266080 286036 357545 399120 429054 572072 715090 798240 858108 1072635 1144144 1430180 1716216 2145270 2288288 2860360 3432432 4290540 5720720 6864864 8581080 11441440 17162160 34324320