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3124211024 = 241133153629
BaseRepresentation
bin1011101000110111…
…1010110101010000
322001201202100211102
42322031322311100
522344244223044
61234002403532
7140264232644
oct27215726520
98051670742
103124211024
111363598a90
127323605a8
133aa35409c
14218cdac24
1513442c24e
hexba37ad50

3124211024 has 40 divisors (see below), whose sum is σ = 6623519520. Its totient is φ = 1415779200.

The previous prime is 3124210993. The next prime is 3124211039. The reversal of 3124211024 is 4201124213.

It is a junction number, because it is equal to n+sod(n) for n = 3124210987 and 3124211005.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31442 + ... + 85070.

It is an arithmetic number, because the mean of its divisors is an integer number (165587988).

Almost surely, 23124211024 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 3124211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311759760).

3124211024 is an abundant number, since it is smaller than the sum of its proper divisors (3499308496).

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

3124211024 is a wasteful number, since it uses less digits than its factorization.

3124211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53979 (or 53973 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3124211024 is about 55894.6421761514. The cubic root of 3124211024 is about 1461.8858198267.

Adding to 3124211024 its reverse (4201124213), we get a palindrome (7325335237).

The spelling of 3124211024 in words is "three billion, one hundred twenty-four million, two hundred eleven thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 331 662 1324 2648 3641 5296 7282 14564 29128 53629 58256 107258 214516 429032 589919 858064 1179838 2359676 4719352 9438704 17751199 35502398 71004796 142009592 195263189 284019184 390526378 781052756 1562105512 3124211024