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33024440340 = 2234520385457
BaseRepresentation
bin11110110000011010…
…001111100000010100
310011020112022101120000
4132300122033200110
51020113224042330
623100552211300
72246243053113
oct366032174024
9104215271500
1033024440340
1113007487901
126497999b30
133163b55b78
141853db3c7a
15cd43e9560
hex7b068f814

33024440340 has 60 divisors (see below), whose sum is σ = 103598897556. Its totient is φ = 8806516992.

The previous prime is 33024440237. The next prime is 33024440347. The reversal of 33024440340 is 4304442033.

It can be written as a sum of positive squares in 2 ways, for example, as 10037635344 + 22986804996 = 100188^2 + 151614^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×330244403402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33024440347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10191109 + ... + 10194348.

Almost surely, 233024440340 is an apocalyptic number.

33024440340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33024440340 is an abundant number, since it is smaller than the sum of its proper divisors (70574457216).

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

33024440340 is a wasteful number, since it uses less digits than its factorization.

33024440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20385478 (or 20385467 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 33024440340 its reverse (4304442033), we get a palindrome (37328882373).

The spelling of 33024440340 in words is "thirty-three billion, twenty-four million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 20385457 40770914 61156371 81541828 101927285 122312742 183469113 203854570 244625484 305781855 366938226 407709140 550407339 611563710 733876452 917345565 1100814678 1223127420 1651222017 1834691130 2201629356 2752036695 3302444034 3669382260 5504073390 6604888068 8256110085 11008146780 16512220170 33024440340