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4340064 = 25353853
BaseRepresentation
bin10000100011100101100000
322011111110010
4100203211200
52102340224
6233004520
751614151
oct20434540
98144403
104340064
1124a4833
121553740
13b8c5b1
1480d928
155aae29
hex423960

4340064 has 48 divisors (see below), whose sum is σ = 11621232. Its totient is φ = 1417728.

The previous prime is 4340057. The next prime is 4340081. The reversal of 4340064 is 4600434.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4340064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4662 + ... + 5514.

It is an arithmetic number, because the mean of its divisors is an integer number (242109).

Almost surely, 24340064 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 4340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810616).

4340064 is an abundant number, since it is smaller than the sum of its proper divisors (7281168).

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

4340064 is a wasteful number, since it uses less digits than its factorization.

4340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4340064 is about 2083.2820260349. The cubic root of 4340064 is about 163.1168068873.

Adding to 4340064 its reverse (4600434), we get a palindrome (8940498).

The spelling of 4340064 in words is "four million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 853 1272 1696 1706 2544 2559 3412 5088 5118 6824 10236 13648 20472 27296 40944 45209 81888 90418 135627 180836 271254 361672 542508 723344 1085016 1446688 2170032 4340064