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3300430340032 = 26741443177763
BaseRepresentation
bin110000000001110000111…
…110100101111111000000
3102200111222122221211201221
4300001300332211333000
5413033240131340112
611004110300204424
7460306512004210
oct60016076457700
912614878854657
103300430340032
1110627829808a1
1245378b539714
131ac2c9863a87
14b5a5525a240
155acb9aaae07
hex30070fa5fc0

3300430340032 has 56 divisors (see below), whose sum is σ = 7485127235456. Its totient is φ = 1414428058368.

The previous prime is 3300430340017. The next prime is 3300430340093. The reversal of 3300430340032 is 2300430340033.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×33004303400322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3300430339979 and 3300430340006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18477583 + ... + 18655345.

Almost surely, 23300430340032 is an apocalyptic number.

3300430340032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3300430340032 is an abundant number, since it is smaller than the sum of its proper divisors (4184696895424).

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

3300430340032 is a wasteful number, since it uses less digits than its factorization.

3300430340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219225 (or 219215 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 25.

Adding to 3300430340032 its reverse (2300430340033), we get a palindrome (5600860680065).

Subtracting from 3300430340032 its reverse (2300430340033), we obtain a palindrome (999999999999).

The spelling of 3300430340032 in words is "three trillion, three hundred billion, four hundred thirty million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 41443 82886 165772 177763 290101 331544 355526 580202 663088 711052 1160404 1244341 1326176 1422104 2320808 2488682 2652352 2844208 4641616 4977364 5688416 9283232 9954728 11376832 18566464 19909456 39818912 79637824 7367032009 14734064018 29468128036 51569224063 58936256072 103138448126 117872512144 206276896252 235745024288 412553792504 471490048576 825107585008 1650215170016 3300430340032