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34324240 = 245716043
BaseRepresentation
bin1000001011101…
…1111100010000
32101120212000011
42002323330100
532241333430
63223404304
7564515446
oct202737420
971525004
1034324240
1118414345
12b5b3694
13715a302
1447b6b96
15303022a
hex20bbf10

34324240 has 40 divisors (see below), whose sum is σ = 80941248. Its totient is φ = 13534080.

The previous prime is 34324237. The next prime is 34324249. The reversal of 34324240 is 4242343.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×343242403 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34324249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2659 + ... + 8701.

Almost surely, 234324240 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 34324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40470624).

34324240 is an abundant number, since it is smaller than the sum of its proper divisors (46617008).

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

34324240 is a wasteful number, since it uses less digits than its factorization.

34324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34324240 is about 5858.6892732078. The cubic root of 34324240 is about 324.9877391824.

Adding to 34324240 its reverse (4242343), we get a palindrome (38566583).

The spelling of 34324240 in words is "thirty-four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 6043 12086 24172 30215 48344 60430 96688 120860 241720 429053 483440 858106 1716212 2145265 3432424 4290530 6864848 8581060 17162120 34324240