Search a number
-
+
3270240 = 25335757
BaseRepresentation
bin1100011110011001100000
320011010221000
430132121200
51314121430
6154032000
736540141
oct14363140
96133830
103270240
111933a86
121118600
138a666c
14611ac8
15448e60
hex31e660

3270240 has 96 divisors (see below), whose sum is σ = 11460960. Its totient is φ = 870912.

The previous prime is 3270229. The next prime is 3270247. The reversal of 3270240 is 420723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3270247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3942 + ... + 4698.

It is an arithmetic number, because the mean of its divisors is an integer number (119385).

Almost surely, 23270240 is an apocalyptic number.

3270240 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 3270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730480).

3270240 is an abundant number, since it is smaller than the sum of its proper divisors (8190720).

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

3270240 is a wasteful number, since it uses less digits than its factorization.

3270240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3270240 is about 1808.3804909366. The cubic root of 3270240 is about 148.4316591977.

Adding to 3270240 its reverse (420723), we get a palindrome (3690963).

The spelling of 3270240 in words is "three million, two hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 757 864 1080 1440 1514 2160 2271 3028 3785 4320 4542 6056 6813 7570 9084 11355 12112 13626 15140 18168 20439 22710 24224 27252 30280 34065 36336 40878 45420 54504 60560 68130 72672 81756 90840 102195 109008 121120 136260 163512 181680 204390 218016 272520 327024 363360 408780 545040 654048 817560 1090080 1635120 3270240