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3425981184 = 283555073
BaseRepresentation
bin1100110000110100…
…0101001100000000
322211202120212200000
43030031011030000
524004022344214
61323542400000
7150620234223
oct31415051400
98752525600
103425981184
1114a897140a
127b7430000
13427a21802
142470115ba
15150b8a809
hexcc345300

3425981184 has 108 divisors (see below), whose sum is σ = 10243984296. Its totient is φ = 1141972992.

The previous prime is 3425981179. The next prime is 3425981189. The reversal of 3425981184 is 4811895243.

3425981184 is a `hidden beast` number, since 3 + 42 + 598 + 1 + 18 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3425981179) and next prime (3425981189).

It is a tau number, because it is divible by the number of its divisors (108).

It is not an unprimeable number, because it can be changed into a prime (3425981189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34672 + ... + 89744.

Almost surely, 23425981184 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 3425981184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121992148).

3425981184 is an abundant number, since it is smaller than the sum of its proper divisors (6818003112).

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

3425981184 is an frugal number, since it uses more digits than its factorization.

3425981184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55104 (or 55078 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 3425981184 is about 58531.8817739529. The cubic root of 3425981184 is about 1507.5150544275.

The spelling of 3425981184 in words is "three billion, four hundred twenty-five million, nine hundred eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 55073 62208 110146 165219 220292 330438 440584 495657 660876 881168 991314 1321752 1486971 1762336 1982628 2643504 2973942 3524672 3965256 4460913 5287008 5947884 7049344 7930512 8921826 10574016 11895768 13382739 14098688 15861024 17843652 21148032 23791536 26765478 31722048 35687304 42296064 47583072 53530956 63444096 71374608 95166144 107061912 126888192 142749216 190332288 214123824 285498432 380664576 428247648 570996864 856495296 1141993728 1712990592 3425981184