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3432120104 = 237476121377
BaseRepresentation
bin1100110010010001…
…1111111100101000
322212012010202200102
43030210133330220
524012110320404
61324322124532
7151023353030
oct31444377450
98765122612
103432120104
1115013846a6
127b94b0748
13429090aca
14247b6c8c0
1515149e71e
hexcc91ff28

3432120104 has 64 divisors (see below), whose sum is σ = 7634511360. Its totient is φ = 1415946240.

The previous prime is 3432120061. The next prime is 3432120113. The reversal of 3432120104 is 4010212343.

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 15 ways as a sum of consecutive naturals, for example, 149864 + ... + 171240.

It is an arithmetic number, because the mean of its divisors is an integer number (119289240).

Almost surely, 23432120104 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 3432120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817255680).

3432120104 is an abundant number, since it is smaller than the sum of its proper divisors (4202391256).

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

3432120104 is a wasteful number, since it uses less digits than its factorization.

3432120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21498 (or 21494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3432120104 is about 58584.2991252776. The cubic root of 3432120104 is about 1508.4149418546.

Adding to 3432120104 its reverse (4010212343), we get a palindrome (7442332447).

The spelling of 3432120104 in words is "three billion, four hundred thirty-two million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 47 56 61 94 122 188 244 329 376 427 488 658 854 1316 1708 2632 2867 3416 5734 11468 20069 21377 22936 40138 42754 80276 85508 149639 160552 171016 299278 598556 1004719 1197112 1303997 2009438 2607994 4018876 5215988 7033033 8037752 9127979 10431976 14066066 18255958 28132132 36511916 56264264 61287859 73023832 122575718 245151436 429015013 490302872 858030026 1716060052 3432120104