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3384126048 = 25367526139
BaseRepresentation
bin1100100110110101…
…1010101001100000
322201211211102012210
43021231122221200
523412314013143
61315445322120
7146601411462
oct31155325140
98654742183
103384126048
111487283a96
127a5406340
1341c158764
14241638132
1514c16e033
hexc9b5aa60

3384126048 has 48 divisors (see below), whose sum is σ = 9015935040. Its totient is φ = 1111203456.

The previous prime is 3384126041. The next prime is 3384126077. The reversal of 3384126048 is 8406214833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33841260482 = 22904618217504196608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3384125997 and 3384126015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384126041) 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, 256638 + ... + 269501.

It is an arithmetic number, because the mean of its divisors is an integer number (187831980).

Almost surely, 23384126048 is an apocalyptic number.

It is an amenable number.

3384126048 is an abundant number, since it is smaller than the sum of its proper divisors (5631808992).

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

3384126048 is a wasteful number, since it uses less digits than its factorization.

3384126048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526219 (or 526211 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3384126048 is about 58173.2416837845. The cubic root of 3384126048 is about 1501.3507903230.

The spelling of 3384126048 in words is "three billion, three hundred eighty-four million, one hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 526139 1052278 1578417 2104556 3156834 4209112 6313668 8418224 12627336 16836448 25254672 35251313 50509344 70502626 105753939 141005252 211507878 282010504 423015756 564021008 846031512 1128042016 1692063024 3384126048