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34321644 = 2234737409
BaseRepresentation
bin1000001011101…
…1010011101100
32101120201110000
42002323103230
532241243034
63223344300
7564505050
oct202732354
971521400
1034321644
11184123a5
12b5b2090
137159086
1447b5c60
15302e599
hex20bb4ec

34321644 has 120 divisors (see below), whose sum is σ = 105570080. Its totient is φ = 9517824.

The previous prime is 34321597. The next prime is 34321663. The reversal of 34321644 is 44612343.

34321644 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 (27).

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 83712 + ... + 84120.

Almost surely, 234321644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34321644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52785040).

34321644 is an abundant number, since it is smaller than the sum of its proper divisors (71248436).

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

34321644 is a wasteful number, since it uses less digits than its factorization.

34321644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 34321644 is about 5858.4677177569. The cubic root of 34321644 is about 324.9795458528.

Adding to 34321644 its reverse (44612343), we get a palindrome (78933987).

The spelling of 34321644 in words is "thirty-four million, three hundred twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 409 444 518 567 666 756 777 818 999 1036 1134 1227 1332 1554 1636 1998 2268 2331 2454 2863 2997 3108 3681 3996 4662 4908 5726 5994 6993 7362 8589 9324 11043 11452 11988 13986 14724 15133 17178 20979 22086 25767 27972 30266 33129 34356 41958 44172 45399 51534 60532 66258 77301 83916 90798 103068 105931 132516 136197 154602 181596 211862 231903 272394 309204 317793 408591 423724 463806 544788 635586 817182 927612 953379 1225773 1271172 1634364 1906758 2451546 2860137 3813516 4903092 5720274 8580411 11440548 17160822 34321644