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4342896 = 24351117
BaseRepresentation
bin10000100100010001110000
322011122100000
4100210101300
52102433041
6233030000
751625335
oct20442160
98148300
104342896
1124a6978
121555300
13b9097c
1481098c
155abbb6
hex424470

4342896 has 60 divisors (see below), whose sum is σ = 12615512. Its totient is φ = 1446336.

The previous prime is 4342889. The next prime is 4342901. The reversal of 4342896 is 6982434.

It is a happy number.

4342896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4342896.

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 11 ways as a sum of consecutive naturals, for example, 3330 + ... + 4446.

Almost surely, 24342896 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 4342896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307756).

4342896 is an abundant number, since it is smaller than the sum of its proper divisors (8272616).

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

4342896 is a wasteful number, since it uses less digits than its factorization.

4342896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1122 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4342896 is about 2083.9616119305. The cubic root of 4342896 is about 163.1522784346.

The spelling of 4342896 in words is "four million, three hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1117 1296 1944 2234 3351 3888 4468 6702 8936 10053 13404 17872 20106 26808 30159 40212 53616 60318 80424 90477 120636 160848 180954 241272 271431 361908 482544 542862 723816 1085724 1447632 2171448 4342896