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3414010120 = 235283301591
BaseRepresentation
bin1100101101111101…
…1010100100001000
322210221001200110021
43023133122210020
523442441310440
61322434030224
7150413415163
oct31337324410
98727050407
103414010120
1114a2135374
127b3418374
134253bca41
142455b6ada
1514eac384a
hexcb7da908

3414010120 has 32 divisors (see below), whose sum is σ = 7708691520. Its totient is φ = 1360774080.

The previous prime is 3414010109. The next prime is 3414010121. The reversal of 3414010120 is 210104143.

3414010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3414010094 and 3414010103.

It is not an unprimeable number, because it can be changed into a prime (3414010121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139476 + ... + 162115.

It is an arithmetic number, because the mean of its divisors is an integer number (240896610).

Almost surely, 23414010120 is an apocalyptic number.

It is an amenable number.

3414010120 is an abundant number, since it is smaller than the sum of its proper divisors (4294681400).

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

3414010120 is a wasteful number, since it uses less digits than its factorization.

3414010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301885 (or 301881 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3414010120 is about 58429.5312320748. The cubic root of 3414010120 is about 1505.7571522329.

Adding to 3414010120 its reverse (210104143), we get a palindrome (3624114263).

The spelling of 3414010120 in words is "three billion, four hundred fourteen million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 283 566 1132 1415 2264 2830 5660 11320 301591 603182 1206364 1507955 2412728 3015910 6031820 12063640 85350253 170700506 341401012 426751265 682802024 853502530 1707005060 3414010120