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4398240 = 2535721117
BaseRepresentation
bin10000110001110010100000
322021110020210
4100301302200
52111220430
6234134120
752245600
oct20616240
98243223
104398240
112534510
121581340
13bacc12
14826c00
155bd2b0
hex431ca0

4398240 has 288 divisors, whose sum is σ = 18615744. Its totient is φ = 860160.

The previous prime is 4398239. The next prime is 4398241. The reversal of 4398240 is 428934.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4398239) and next prime (4398241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4398198 and 4398207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4398241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258712 + ... + 258728.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

Almost surely, 24398240 is an apocalyptic number.

4398240 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 4398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9307872).

4398240 is an abundant number, since it is smaller than the sum of its proper divisors (14217504).

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

4398240 is a wasteful number, since it uses less digits than its factorization.

4398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4398240 is about 2097.1981308403. The cubic root of 4398240 is about 163.8424026391.

The spelling of 4398240 in words is "four million, three hundred ninety-eight thousand, two hundred forty".