Search a number
-
+
4233240 = 23325111069
BaseRepresentation
bin10000001001100000011000
321222001220200
4100021200120
52040430430
6230422200
750660544
oct20114030
97861820
104233240
112431550
121501960
13b52a9b
147c2a24
15589460
hex409818

4233240 has 96 divisors (see below), whose sum is σ = 15022800. Its totient is φ = 1025280.

The previous prime is 4233199. The next prime is 4233247. The reversal of 4233240 is 423324.

4233240 is a `hidden beast` number, since 423 + 3 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3426 + ... + 4494.

Almost surely, 24233240 is an apocalyptic number.

4233240 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 4233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511400).

4233240 is an abundant number, since it is smaller than the sum of its proper divisors (10789560).

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

4233240 is a wasteful number, since it uses less digits than its factorization.

4233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4233240 is about 2057.4839003015. The cubic root of 4233240 is about 161.7673844833.

Adding to 4233240 its reverse (423324), we get a palindrome (4656564).

It can be divided in two parts, 423 and 3240, that added together give a palindrome (3663).

The spelling of 4233240 in words is "four million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1069 1320 1980 2138 3207 3960 4276 5345 6414 8552 9621 10690 11759 12828 16035 19242 21380 23518 25656 32070 35277 38484 42760 47036 48105 58795 64140 70554 76968 94072 96210 105831 117590 128280 141108 176385 192420 211662 235180 282216 352770 384840 423324 470360 529155 705540 846648 1058310 1411080 2116620 4233240