Search a number
-
+
33344232240 = 24351112630391
BaseRepresentation
bin11111000011011110…
…001001101100110000
310012001211001111120110
4133003132021230300
51021242110412430
623152414341320
72260205204034
oct370336115460
9105054044513
1033344232240
1113160a4a230
126566aba840
1331b5193447
14188465a1c4
15d025177b0
hex7c3789b30

33344232240 has 80 divisors (see below), whose sum is σ = 112764139776. Its totient is φ = 8083449600.

The previous prime is 33344232227. The next prime is 33344232241. The reversal of 33344232240 is 4223244333.

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

It is a super-2 number, since 2×333442322402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33344232198 and 33344232207.

It is not an unprimeable number, because it can be changed into a prime (33344232241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6312556 + ... + 6317835.

Almost surely, 233344232240 is an apocalyptic number.

33344232240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33344232240 is an abundant number, since it is smaller than the sum of its proper divisors (79419907536).

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

33344232240 is a wasteful number, since it uses less digits than its factorization.

33344232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12630418 (or 12630412 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 33344232240 its reverse (4223244333), we get a palindrome (37567476573).

The spelling of 33344232240 in words is "thirty-three billion, three hundred forty-four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 12630391 25260782 37891173 50521564 63151955 75782346 101043128 126303910 138934301 151564692 189455865 202086256 252607820 277868602 303129384 378911730 416802903 505215640 555737204 606258768 694671505 757823460 833605806 1010431280 1111474408 1389343010 1515646920 1667211612 2084014515 2222948816 2778686020 3031293840 3334423224 4168029030 5557372040 6668846448 8336058060 11114744080 16672116120 33344232240