Search a number
-
+
3339242100 = 22325210393571
BaseRepresentation
bin1100011100001000…
…1100101001110100
322121201101002000100
43013002030221310
523314321221400
61311203314100
7145515042465
oct30702145164
98551332010
103339242100
111463a08017
1279237b930
13412a71bcc
142396b2d6c
15148255100
hexc708ca74

3339242100 has 108 divisors (see below), whose sum is σ = 10479676480. Its totient is φ = 889358400.

The previous prime is 3339242069. The next prime is 3339242107. The reversal of 3339242100 is 12429333.

It is a happy number.

It is a super-2 number, since 2×33392421002 = 22301075604824820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3339242107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 933315 + ... + 936885.

Almost surely, 23339242100 is an apocalyptic number.

3339242100 is a gapful number since it is divisible by the number (30) 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 3339242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239838240).

3339242100 is an abundant number, since it is smaller than the sum of its proper divisors (7140434380).

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

3339242100 is a wasteful number, since it uses less digits than its factorization.

3339242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3339242100 is about 57786.1756824243. The cubic root of 3339242100 is about 1494.6837136595.

The spelling of 3339242100 in words is "three billion, three hundred thirty-nine million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1039 2078 3117 3571 4156 5195 6234 7142 9351 10390 10713 12468 14284 15585 17855 18702 20780 21426 25975 31170 32139 35710 37404 42852 46755 51950 53565 62340 64278 71420 77925 89275 93510 103900 107130 128556 155850 160695 178550 187020 214260 233775 267825 311700 321390 357100 467550 535650 642780 803475 935100 1071300 1606950 3213900 3710269 7420538 11130807 14841076 18551345 22261614 33392421 37102690 44523228 55654035 66784842 74205380 92756725 111308070 133569684 166962105 185513450 222616140 278270175 333924210 371026900 556540350 667848420 834810525 1113080700 1669621050 3339242100