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3420000052 = 2271035572129
BaseRepresentation
bin1100101111011001…
…0000111100110100
322211100100000002121
43023312100330310
524001010000202
61323210245324
7150515343430
oct31366207464
98740300077
103420000052
1114a5556727
127b5426844
13426709291
142462d59c0
151503a8537
hexcbd90f34

3420000052 has 48 divisors (see below), whose sum is σ = 6922056960. Its totient is φ = 1448197632.

The previous prime is 3420000049. The next prime is 3420000053. The reversal of 3420000052 is 2500000243.

It is a junction number, because it is equal to n+sod(n) for n = 3419999990 and 3420000035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420000053) 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 15 ways as a sum of consecutive naturals, for example, 1605324 + ... + 1607452.

It is an arithmetic number, because the mean of its divisors is an integer number (144209520).

Almost surely, 23420000052 is an apocalyptic number.

It is an amenable number.

3420000052 is an abundant number, since it is smaller than the sum of its proper divisors (3502056908).

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

3420000052 is a wasteful number, since it uses less digits than its factorization.

3420000052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3420000052 is about 58480.7665134444. The cubic root of 3420000052 is about 1506.6372622197.

Adding to 3420000052 its reverse (2500000243), we get a palindrome (5920000295).

The spelling of 3420000052 in words is "three billion, four hundred twenty million, fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 103 206 412 557 721 1114 1442 2129 2228 2884 3899 4258 7798 8516 14903 15596 29806 57371 59612 114742 219287 229484 401597 438574 803194 877148 1185853 1535009 1606388 2371706 3070018 4743412 6140036 8300971 16601942 33203884 122142859 244285718 488571436 855000013 1710000026 3420000052