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3244121832 = 2337217263617
BaseRepresentation
bin1100000101011101…
…0101111011101000
322101002101110112110
43001113111323220
523120443344312
61253524442320
7143251403100
oct30127257350
98332343473
103244121832
111415249826
127665493a0
133c9149523
1422abd2200
1513ec1643c
hexc15d5ee8

3244121832 has 192 divisors, whose sum is σ = 10043637120. Its totient is φ = 867643392.

The previous prime is 3244121773. The next prime is 3244121833. The reversal of 3244121832 is 2381214423.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3244121832.

It is not an unprimeable number, because it can be changed into a prime (3244121833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5257588 + ... + 5258204.

It is an arithmetic number, because the mean of its divisors is an integer number (52310610).

Almost surely, 23244121832 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 3244121832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021818560).

3244121832 is an abundant number, since it is smaller than the sum of its proper divisors (6799515288).

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

3244121832 is a wasteful number, since it uses less digits than its factorization.

3244121832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 3244121832 is about 56957.1929785870. The cubic root of 3244121832 is about 1480.3544670811.

The spelling of 3244121832 in words is "three billion, two hundred forty-four million, one hundred twenty-one thousand, eight hundred thirty-two".