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4364240 = 245173209
BaseRepresentation
bin10000101001011111010000
322012201121112
4100221133100
52104123430
6233312452
752044506
oct20513720
98181545
104364240
112510a11
121565728
13b9a5ba
14818676
155b3195
hex4297d0

4364240 has 40 divisors (see below), whose sum is σ = 10747080. Its totient is φ = 1642496.

The previous prime is 4364237. The next prime is 4364249. The reversal of 4364240 is 424634.

It is a happy number.

4364240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 3356224 = 1004^2 + 1832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4364249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 2964.

It is an arithmetic number, because the mean of its divisors is an integer number (268677).

Almost surely, 24364240 is an apocalyptic number.

4364240 is a gapful number since it is divisible by the number (40) 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 4364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373540).

4364240 is an abundant number, since it is smaller than the sum of its proper divisors (6382840).

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

4364240 is a wasteful number, since it uses less digits than its factorization.

4364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4364240 is about 2089.0763509264. The cubic root of 4364240 is about 163.4191228711.

Adding to 4364240 its reverse (424634), we get a palindrome (4788874).

The spelling of 4364240 in words is "four million, three hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 3209 6418 12836 16045 25672 32090 51344 54553 64180 109106 128360 218212 256720 272765 436424 545530 872848 1091060 2182120 4364240