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4240464 = 243232167
BaseRepresentation
bin10000001011010001010000
321222102211020
4100023101100
52041143324
6230515440
751020604
oct20132120
97872736
104240464
112436a18
121505b80
13b56167
147c5504
1558b679
hex40b450

4240464 has 60 divisors (see below), whose sum is σ = 11520096. Its totient is φ = 1343936.

The previous prime is 4240451. The next prime is 4240469. The reversal of 4240464 is 4640424.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25309 + ... + 25475.

Almost surely, 24240464 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 4240464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760048).

4240464 is an abundant number, since it is smaller than the sum of its proper divisors (7279632).

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

4240464 is a wasteful number, since it uses less digits than its factorization.

4240464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4240464 is about 2059.2386942751. The cubic root of 4240464 is about 161.8593505640.

Adding to 4240464 its reverse (4640424), we get a palindrome (8880888).

The spelling of 4240464 in words is "four million, two hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 167 184 276 334 368 501 529 552 668 1002 1058 1104 1336 1587 2004 2116 2672 3174 3841 4008 4232 6348 7682 8016 8464 11523 12696 15364 23046 25392 30728 46092 61456 88343 92184 176686 184368 265029 353372 530058 706744 1060116 1413488 2120232 4240464