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34324020 = 22335173739
BaseRepresentation
bin1000001011101…
…1111000110100
32101120211201000
42002323320310
532241332040
63223403300
7564515013
oct202737064
971524630
1034324020
1118414165
12b5b3530
13715a193
1447b6a7a
153030130
hex20bbe34

34324020 has 96 divisors (see below), whose sum is σ = 113097600. Its totient is φ = 8612352.

The previous prime is 34324009. The next prime is 34324021. The reversal of 34324020 is 2042343.

34324020 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 junction number, because it is equal to n+sod(n) for n = 34323984 and 34324002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7311 + ... + 11049.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 234324020 is an apocalyptic number.

34324020 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 34324020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548800).

34324020 is an abundant number, since it is smaller than the sum of its proper divisors (78773580).

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

34324020 is a wasteful number, since it uses less digits than its factorization.

34324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3766 counting only the distinct ones).

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

The square root of 34324020 is about 5858.6704976471. The cubic root of 34324020 is about 324.9870448485.

Adding to 34324020 its reverse (2042343), we get a palindrome (36366363).

The spelling of 34324020 in words is "thirty-four million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 3739 4590 7478 9180 11217 14956 18695 22434 33651 37390 44868 56085 63563 67302 74780 100953 112170 127126 134604 168255 190689 201906 224340 254252 317815 336510 381378 403812 504765 572067 635630 673020 762756 953445 1009530 1144134 1271260 1716201 1906890 2019060 2288268 2860335 3432402 3813780 5720670 6864804 8581005 11441340 17162010 34324020