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38400077 is a prime number
BaseRepresentation
bin1001001001111…
…1000001001101
32200020221000002
42102133001031
534312300302
63451014045
7644252402
oct222370115
980227002
1038400077
111a748601
1210a3a325
137c56551
1451582a9
153587c02
hex249f04d

38400077 has 2 divisors, whose sum is σ = 38400078. Its totient is φ = 38400076.

The previous prime is 38400073. The next prime is 38400107. The reversal of 38400077 is 77000483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36409156 + 1990921 = 6034^2 + 1411^2 .

It is a cyclic number.

It is not a de Polignac number, because 38400077 - 22 = 38400073 is a prime.

It is a super-3 number, since 3×384000773 (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38400071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200038 + 19200039.

It is an arithmetic number, because the mean of its divisors is an integer number (19200039).

Almost surely, 238400077 is an apocalyptic number.

It is an amenable number.

38400077 is a deficient number, since it is larger than the sum of its proper divisors (1).

38400077 is an equidigital number, since it uses as much as digits as its factorization.

38400077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 38400077 is about 6196.7795668395. The cubic root of 38400077 is about 337.3732916216.

The spelling of 38400077 in words is "thirty-eight million, four hundred thousand, seventy-seven".