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3198240 = 253252221
BaseRepresentation
bin1100001100110100100000
320000111011100
430030310200
51304320430
6152314400
736120213
oct14146440
96014140
103198240
111894981
1210a2a00
1387c966
145d377a
15432960
hex30cd20

3198240 has 72 divisors (see below), whose sum is σ = 10918908. Its totient is φ = 852480.

The previous prime is 3198199. The next prime is 3198257. The reversal of 3198240 is 428913.

3198240 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 3196944 + 1296 = 1788^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330 + ... + 2550.

Almost surely, 23198240 is an apocalyptic number.

3198240 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 3198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459454).

3198240 is an abundant number, since it is smaller than the sum of its proper divisors (7720668).

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

3198240 is a wasteful number, since it uses less digits than its factorization.

3198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3198240 is about 1788.3623793851. The cubic root of 3198240 is about 147.3342387601.

The spelling of 3198240 in words is "three million, one hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2221 4442 6663 8884 11105 13326 17768 19989 22210 26652 33315 35536 39978 44420 53304 66630 71072 79956 88840 99945 106608 133260 159912 177680 199890 213216 266520 319824 355360 399780 533040 639648 799560 1066080 1599120 3198240