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34324848 = 2432349683
BaseRepresentation
bin1000001011110…
…0000101110000
32101120212211200
42002330011300
532241343343
63223411200
7564520305
oct202740560
971525750
1034324848
1118414848
12b5b3b00
13715a67c
1447b70ac
1530304d3
hex20bc170

34324848 has 60 divisors (see below), whose sum is σ = 96478200. Its totient is φ = 11392128.

The previous prime is 34324841. The next prime is 34324877. The reversal of 34324848 is 84842343.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324841) 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, 49915 + ... + 50597.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 234324848 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 34324848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48239100).

34324848 is an abundant number, since it is smaller than the sum of its proper divisors (62153352).

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

34324848 is a wasteful number, since it uses less digits than its factorization.

34324848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1037 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 34324848 is about 5858.7411617173. The cubic root of 34324848 is about 324.9896580536.

The spelling of 34324848 in words is "thirty-four million, three hundred twenty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 683 698 1047 1366 1396 2049 2094 2732 2792 3141 4098 4188 5464 5584 6147 6282 8196 8376 10928 12294 12564 16392 16752 24588 25128 32784 49176 50256 98352 238367 476734 715101 953468 1430202 1906936 2145303 2860404 3813872 4290606 5720808 8581212 11441616 17162424 34324848