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3242240 = 28517149
BaseRepresentation
bin1100010111100100000000
320002201111222
430113210000
51312222430
6153254212
736362411
oct14274400
96081458
103242240
111914a41
121104368
138969b1
14605808
154409e5
hex317900

3242240 has 72 divisors (see below), whose sum is σ = 8278200. Its totient is φ = 1212416.

The previous prime is 3242237. The next prime is 3242251. The reversal of 3242240 is 422423.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 3041536 = 448^2 + 1744^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21686 + ... + 21834.

It is an arithmetic number, because the mean of its divisors is an integer number (114975).

Almost surely, 23242240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139100).

3242240 is an abundant number, since it is smaller than the sum of its proper divisors (5035960).

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

3242240 is a wasteful number, since it uses less digits than its factorization.

3242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3242240 is about 1800.6221147148. The cubic root of 3242240 is about 148.0068173144.

Adding to 3242240 its reverse (422423), we get a palindrome (3664663).

The spelling of 3242240 in words is "three million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 149 160 170 256 272 298 320 340 544 596 640 680 745 1088 1192 1280 1360 1490 2176 2384 2533 2720 2980 4352 4768 5066 5440 5960 9536 10132 10880 11920 12665 19072 20264 21760 23840 25330 38144 40528 47680 50660 81056 95360 101320 162112 190720 202640 324224 405280 648448 810560 1621120 3242240