Search a number
-
+
4342441520 = 245675631439
BaseRepresentation
bin1000000101101010…
…00110011000110000
3102012122001212220102
410002311012120300
532343131112040
61554521331532
7212416100234
oct40265063060
912178055812
104342441520
11192921664a
12a12336ba8
1354285c431
142d2a145c4
151a6369515
hex102d46630

4342441520 has 80 divisors (see below), whose sum is σ = 10272199680. Its totient is φ = 1706825472.

The previous prime is 4342441501. The next prime is 4342441577. The reversal of 4342441520 is 251442434.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3016961 + ... + 3018399.

It is an arithmetic number, because the mean of its divisors is an integer number (128402496).

Almost surely, 24342441520 is an apocalyptic number.

4342441520 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 4342441520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136099840).

4342441520 is an abundant number, since it is smaller than the sum of its proper divisors (5929758160).

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

4342441520 is a wasteful number, since it uses less digits than its factorization.

4342441520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 4342441520 is about 65897.2041895557. The cubic root of 4342441520 is about 1631.4658699164.

Adding to 4342441520 its reverse (251442434), we get a palindrome (4593883954).

The spelling of 4342441520 in words is "four billion, three hundred forty-two million, four hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 563 670 1072 1126 1340 1439 2252 2680 2815 2878 4504 5360 5630 5756 7195 9008 11260 11512 14390 22520 23024 28780 37721 45040 57560 75442 96413 115120 150884 188605 192826 301768 377210 385652 482065 603536 754420 771304 810157 964130 1508840 1542608 1620314 1928260 3017680 3240628 3856520 4050785 6481256 7713040 8101570 12962512 16203140 32406280 54280519 64812560 108561038 217122076 271402595 434244152 542805190 868488304 1085610380 2171220760 4342441520