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34240024 = 2372136719
BaseRepresentation
bin1000001010011…
…1011000011000
32101102120111001
42002213120120
532231140044
63221514344
7564015100
oct202473030
971376431
1034240024
1118367045
12b5729b4
13712ab90
144794200
1530152d4
hex20a7618

34240024 has 48 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 13543488.

The previous prime is 34240021. The next prime is 34240069. The reversal of 34240024 is 42004243.

It is a junction number, because it is equal to n+sod(n) for n = 34239983 and 34240010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34240021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1737 + ... + 8455.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 234240024 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 34240024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

34240024 is an abundant number, since it is smaller than the sum of its proper divisors (46198376).

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

34240024 is a wasteful number, since it uses less digits than its factorization.

34240024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 34240024 is about 5851.4975860885. The cubic root of 34240024 is about 324.7217310415.

Adding to 34240024 its reverse (42004243), we get a palindrome (76244267).

The spelling of 34240024 in words is "thirty-four million, two hundred forty thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 6719 13438 26876 47033 53752 87347 94066 174694 188132 329231 349388 376264 611429 658462 698776 1222858 1316924 2445716 2633848 4280003 4891432 8560006 17120012 34240024