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3419144088 = 2331925129873
BaseRepresentation
bin1100101111001011…
…1111111110011000
322211021201111221020
43023302333332120
524000300102323
61323140042440
7150505150053
oct31362777630
98737644836
103419144088
1114a5021618
127b5093420
134264997a9
14246151a9a
15150289ae3
hexcbcbff98

3419144088 has 64 divisors (see below), whose sum is σ = 9033897600. Its totient is φ = 1075392000.

The previous prime is 3419144059. The next prime is 3419144111. The reversal of 3419144088 is 8804419143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99520 + ... + 129392.

It is an arithmetic number, because the mean of its divisors is an integer number (141154650).

Almost surely, 23419144088 is an apocalyptic number.

3419144088 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419144088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516948800).

3419144088 is an abundant number, since it is smaller than the sum of its proper divisors (5614753512).

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

3419144088 is a wasteful number, since it uses less digits than its factorization.

3419144088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30152 (or 30148 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3419144088 is about 58473.4477177462. The cubic root of 3419144088 is about 1506.5115570693.

The spelling of 3419144088 in words is "three billion, four hundred nineteen million, one hundred forty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 251 456 502 753 1004 1506 2008 3012 4769 6024 9538 14307 19076 28614 29873 38152 57228 59746 89619 114456 119492 179238 238984 358476 567587 716952 1135174 1702761 2270348 3405522 4540696 6811044 7498123 13622088 14996246 22494369 29992492 44988738 59984984 89977476 142464337 179954952 284928674 427393011 569857348 854786022 1139714696 1709572044 3419144088