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33242040 = 23325137103
BaseRepresentation
bin111111011001…
…1101110111000
32022112212111200
41332303232320
532002221130
63144254200
7552360366
oct176635670
968485450
1033242040
1117845267
12b171360
136b6b860
1445b4636
152db9760
hex1fb3bb8

33242040 has 96 divisors (see below), whose sum is σ = 116363520. Its totient is φ = 8181504.

The previous prime is 33242009. The next prime is 33242047. The reversal of 33242040 is 4024233.

It is a super-2 number, since 2×332420402 = 2210066446723200, which contains 22 as substring.

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 (33242047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129 + ... + 8231.

It is an arithmetic number, because the mean of its divisors is an integer number (1212120).

Almost surely, 233242040 is an apocalyptic number.

33242040 is a gapful number since it is divisible by the number (30) 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 33242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

33242040 is an abundant number, since it is smaller than the sum of its proper divisors (83121480).

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

33242040 is a wasteful number, since it uses less digits than its factorization.

33242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133 (or 7126 counting only the distinct ones).

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

The square root of 33242040 is about 5765.5910364853. The cubic root of 33242040 is about 321.5357170841.

Adding to 33242040 its reverse (4024233), we get a palindrome (37266273).

The spelling of 33242040 in words is "thirty-three million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 7103 14206 21309 28412 35515 42618 56824 63927 71030 85236 92339 106545 127854 142060 170472 184678 213090 255708 277017 284120 319635 369356 426180 461695 511416 554034 639270 738712 831051 852360 923390 1108068 1278540 1385085 1662102 1846780 2216136 2557080 2770170 3324204 3693560 4155255 5540340 6648408 8310510 11080680 16621020 33242040