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33240435240 = 23351768323857
BaseRepresentation
bin11110111101010010…
…001100101000101000
310011210120202001212010
4132331102030220220
51021034022411430
623134225515520
72254505015625
oct367522145050
9104716661763
1033240435240
11131083a4a91
1265381a2ba0
1331998205bc
14187495b34c
15ce8362cb0
hex7bd48ca28

33240435240 has 128 divisors (see below), whose sum is σ = 105746290560. Its totient is φ = 8330133504.

The previous prime is 33240435157. The next prime is 33240435247. The reversal of 33240435240 is 4253404233.

It is a super-2 number, since 2×332404352402 (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 = 33240435198 and 33240435207.

It is not an unprimeable number, because it can be changed into a prime (33240435247) 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 31 ways as a sum of consecutive naturals, for example, 1381392 + ... + 1405248.

It is an arithmetic number, because the mean of its divisors is an integer number (826142895).

Almost surely, 233240435240 is an apocalyptic number.

33240435240 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 33240435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52873145280).

33240435240 is an abundant number, since it is smaller than the sum of its proper divisors (72505855320).

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

33240435240 is a wasteful number, since it uses less digits than its factorization.

33240435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24571 (or 24567 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 33240435240 its reverse (4253404233), we get a palindrome (37493839473).

The spelling of 33240435240 in words is "thirty-three billion, two hundred forty million, four hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 683 1020 1366 2040 2049 2732 3415 4098 5464 6830 8196 10245 11611 13660 16392 20490 23222 23857 27320 34833 40980 46444 47714 58055 69666 71571 81960 92888 95428 116110 119285 139332 143142 174165 190856 232220 238570 278664 286284 348330 357855 405569 464440 477140 572568 696660 715710 811138 954280 1216707 1393320 1431420 1622276 2027845 2433414 2862840 3244552 4055690 4866828 6083535 8111380 9733656 12167070 16222760 16294331 24334140 32588662 48668280 48882993 65177324 81471655 97765986 130354648 162943310 195531972 244414965 277003627 325886620 391063944 488829930 554007254 651773240 831010881 977659860 1108014508 1385018135 1662021762 1955319720 2216029016 2770036270 3324043524 4155054405 5540072540 6648087048 8310108810 11080145080 16620217620 33240435240