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2404240 = 24541733
BaseRepresentation
bin1001001010111110010000
311112010222221
421022332100
51103413430
6123310424
726302306
oct11127620
94463887
102404240
1113a2383
1297b414
13662437
14468276
1532757a
hex24af90

2404240 has 40 divisors (see below), whose sum is σ = 5734008. Its totient is φ = 936960.

The previous prime is 2404229. The next prime is 2404247. The reversal of 2404240 is 424042.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 2108304 = 544^2 + 1452^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404247) 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, 2914 + ... + 3646.

22404240 is an apocalyptic number.

2404240 is a gapful number since it is divisible by the number (20) 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 2404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867004).

2404240 is an abundant number, since it is smaller than the sum of its proper divisors (3329768).

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

2404240 is a wasteful number, since it uses less digits than its factorization.

2404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2404240 is about 1550.5611887314. The cubic root of 2404240 is about 133.9653879566.

Adding to 2404240 its reverse (424042), we get a palindrome (2828282).

The spelling of 2404240 in words is "two million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 733 820 1466 1640 2932 3280 3665 5864 7330 11728 14660 29320 30053 58640 60106 120212 150265 240424 300530 480848 601060 1202120 2404240