Search a number
-
+
413443240 = 23574613203
BaseRepresentation
bin11000101001001…
…010010010101000
31001210222002111121
4120221022102220
51321320140430
6105005305024
713150131610
oct3051122250
91053862447
10413443240
111a2418031
12b6565174
136786a492
143cca3a40
152646ba7a
hex18a4a4a8

413443240 has 64 divisors (see below), whose sum is σ = 1065778560. Its totient is φ = 141400320.

The previous prime is 413443229. The next prime is 413443307. The reversal of 413443240 is 42344314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127479 + ... + 130681.

It is an arithmetic number, because the mean of its divisors is an integer number (16652790).

Almost surely, 2413443240 is an apocalyptic number.

413443240 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 413443240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532889280).

413443240 is an abundant number, since it is smaller than the sum of its proper divisors (652335320).

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

413443240 is a wasteful number, since it uses less digits than its factorization.

413443240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 413443240 is about 20333.3037158254. The cubic root of 413443240 is about 744.9697388726.

Adding to 413443240 its reverse (42344314), we get a palindrome (455787554).

It can be divided in two parts, 4134 and 43240, that added together give a palindrome (47374).

The spelling of 413443240 in words is "four hundred thirteen million, four hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 461 922 1844 2305 3203 3227 3688 4610 6406 6454 9220 12812 12908 16015 16135 18440 22421 25624 25816 32030 32270 44842 64060 64540 89684 112105 128120 129080 179368 224210 448420 896840 1476583 2953166 5906332 7382915 10336081 11812664 14765830 20672162 29531660 41344324 51680405 59063320 82688648 103360810 206721620 413443240