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3200123388 = 22371111330649
BaseRepresentation
bin1011111010111110…
…0000000111111100
322021000121010000110
42332233200013330
523023212422023
61245313430020
7142205412540
oct27657400774
98230533013
103200123388
1113a2428080
1275386b310
133bccb2a47
1422501ba20
1513ae24a93
hexbebe01fc

3200123388 has 96 divisors (see below), whose sum is σ = 9392140800. Its totient is φ = 823818240.

The previous prime is 3200123387. The next prime is 3200123447. The reversal of 3200123388 is 8833210023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200123387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89088 + ... + 119736.

It is an arithmetic number, because the mean of its divisors is an integer number (97834800).

Almost surely, 23200123388 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 3200123388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696070400).

3200123388 is an abundant number, since it is smaller than the sum of its proper divisors (6192017412).

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

3200123388 is a wasteful number, since it uses less digits than its factorization.

3200123388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30787 (or 30785 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3200123388 is about 56569.6330905549. The cubic root of 3200123388 is about 1473.6315394327.

The spelling of 3200123388 in words is "three billion, two hundred million, one hundred twenty-three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 113 132 154 226 231 308 339 452 462 678 791 924 1243 1356 1582 2373 2486 3164 3729 4746 4972 7458 8701 9492 14916 17402 26103 30649 34804 52206 61298 91947 104412 122596 183894 214543 337139 367788 429086 643629 674278 858172 1011417 1287258 1348556 2022834 2359973 2574516 3463337 4045668 4719946 6926674 7079919 9439892 10390011 13853348 14159838 20780022 24243359 28319676 38096707 41560044 48486718 72730077 76193414 96973436 114290121 145460154 152386828 228580242 266676949 290920308 457160484 533353898 800030847 1066707796 1600061694 3200123388