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3399120 = 243254721
BaseRepresentation
bin1100111101110111010000
320101200201100
430331313100
51332232440
6200504400
740614654
oct14756720
96350640
103399120
111a1189a
12117b100
1392021a
14646a64
15472230
hex33ddd0

3399120 has 60 divisors (see below), whose sum is σ = 11417796. Its totient is φ = 906240.

The previous prime is 3399089. The next prime is 3399127. The reversal of 3399120 is 219933.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 1871424 = 1236^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641 + ... + 3080.

Almost surely, 23399120 is an apocalyptic number.

3399120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3399120 is an abundant number, since it is smaller than the sum of its proper divisors (8018676).

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

3399120 is a wasteful number, since it uses less digits than its factorization.

3399120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3399120 is about 1843.6702525126. The cubic root of 3399120 is about 150.3564854497.

The spelling of 3399120 in words is "three million, three hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4721 9442 14163 18884 23605 28326 37768 42489 47210 56652 70815 75536 84978 94420 113304 141630 169956 188840 212445 226608 283260 339912 377680 424890 566520 679824 849780 1133040 1699560 3399120