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4342720 = 26541331
BaseRepresentation
bin10000100100001111000000
322011122002111
4100210033000
52102431340
6233025104
751624664
oct20441700
98148074
104342720
1124a6828
121555194
13b90875
148108a4
155abaea
hex4243c0

4342720 has 56 divisors (see below), whose sum is σ = 10625328. Its totient is φ = 1689600.

The previous prime is 4342717. The next prime is 4342757. The reversal of 4342720 is 272434.

4342720 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 42 + 32 + 411 + 29 + 75 + 217 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4342691 and 4342700.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12955 + ... + 13285.

It is an arithmetic number, because the mean of its divisors is an integer number (189738).

Almost surely, 24342720 is an apocalyptic number.

4342720 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 4342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312664).

4342720 is an abundant number, since it is smaller than the sum of its proper divisors (6282608).

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

4342720 is a wasteful number, since it uses less digits than its factorization.

4342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4342720 is about 2083.9193842373. The cubic root of 4342720 is about 163.1500744376.

The spelling of 4342720 in words is "four million, three hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 331 410 656 662 820 1312 1324 1640 1655 2624 2648 3280 3310 5296 6560 6620 10592 13120 13240 13571 21184 26480 27142 52960 54284 67855 105920 108568 135710 217136 271420 434272 542840 868544 1085680 2171360 4342720