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34323324 = 2237331269
BaseRepresentation
bin1000001011101…
…1101101111100
32101120210202020
42002323231330
532241321244
63223400140
7564513000
oct202735574
971523666
1034323324
1118413692
12b5b3050
137159a79
1447b6700
15302ed19
hex20bbb7c

34323324 has 96 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 9455040.

The previous prime is 34323319. The next prime is 34323349. The reversal of 34323324 is 42332343.

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

It is a junction number, because it is equal to n+sod(n) for n = 34323294 and 34323303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127462 + ... + 127730.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 234323324 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 34323324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

34323324 is an abundant number, since it is smaller than the sum of its proper divisors (62444676).

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

34323324 is a wasteful number, since it uses less digits than its factorization.

34323324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its digits is 5184, while the sum is 24.

The square root of 34323324 is about 5858.6110982041. The cubic root of 34323324 is about 324.9848482088.

Adding to 34323324 its reverse (42332343), we get a palindrome (76655667).

The spelling of 34323324 in words is "thirty-four million, three hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 269 294 343 372 434 538 588 651 686 807 868 1029 1076 1302 1372 1519 1614 1883 2058 2604 3038 3228 3766 4116 4557 5649 6076 7532 8339 9114 10633 11298 13181 16678 18228 21266 22596 25017 26362 31899 33356 39543 42532 50034 52724 58373 63798 79086 92267 100068 116746 127596 158172 175119 184534 233492 276801 350238 369068 408611 553602 700476 817222 1107204 1225833 1634444 2451666 2860277 4903332 5720554 8580831 11441108 17161662 34323324