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4213440 = 2632571119
BaseRepresentation
bin10000000100101011000000
321221001202100
4100010223000
52034312230
6230150400
750546040
oct20045300
97831670
104213440
112418690
1214b2400
13b46a7a
147b9720
15583660
hex404ac0

4213440 has 336 divisors, whose sum is σ = 19019520. Its totient is φ = 829440.

The previous prime is 4213423. The next prime is 4213457. The reversal of 4213440 is 443124.

It is an interprime number because it is at equal distance from previous prime (4213423) and next prime (4213457).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221751 + ... + 221769.

Almost surely, 24213440 is an apocalyptic number.

4213440 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 4213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

4213440 is an abundant number, since it is smaller than the sum of its proper divisors (14806080).

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

4213440 is a wasteful number, since it uses less digits than its factorization.

4213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4213440 is about 2052.6665584064. Note that the first 3 decimals coincide. The cubic root of 4213440 is about 161.5147804114.

Adding to 4213440 its reverse (443124), we get a palindrome (4656564).

It can be divided in two parts, 4 and 213440, that added together give a square (213444 = 4622).

The spelling of 4213440 in words is "four million, two hundred thirteen thousand, four hundred forty".