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4338640 = 245193281
BaseRepresentation
bin10000100011001111010000
322011102111101
4100203033100
52102314030
6232554144
751610045
oct20431720
98142441
104338640
1124a3759
121552954
13b8ba57
1480d1cc
155aa7ca
hex4233d0

4338640 has 40 divisors (see below), whose sum is σ = 10175688. Its totient is φ = 1720320.

The previous prime is 4338629. The next prime is 4338643. The reversal of 4338640 is 468334.

It can be written as a sum of positive squares in 4 ways, for example, as 322624 + 4016016 = 568^2 + 2004^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4338599 and 4338608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338643) 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, 15300 + ... + 15580.

Almost surely, 24338640 is an apocalyptic number.

4338640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4338640 is an abundant number, since it is smaller than the sum of its proper divisors (5837048).

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

4338640 is a wasteful number, since it uses less digits than its factorization.

4338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4338640 is about 2082.9402295793. The cubic root of 4338640 is about 163.0989650811.

It can be divided in two parts, 43 and 38640, that added together give a palindrome (38683).

The spelling of 4338640 in words is "four million, three hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 281 386 562 772 965 1124 1405 1544 1930 2248 2810 3088 3860 4496 5620 7720 11240 15440 22480 54233 108466 216932 271165 433864 542330 867728 1084660 2169320 4338640