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34077377 is a prime number
BaseRepresentation
bin1000000111111…
…1101011000001
32101010022101002
42001333223001
532210434002
63214221345
7562436645
oct201775301
971108332
1034077377
1118265924
12b4b4855
1370a1b39
144750c25
152ed2002
hex207fac1

34077377 has 2 divisors, whose sum is σ = 34077378. Its totient is φ = 34077376.

The previous prime is 34077347. The next prime is 34077383. The reversal of 34077377 is 77377043.

It is a happy number.

34077377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33535681 + 541696 = 5791^2 + 736^2 .

It is a cyclic number.

It is not a de Polignac number, because 34077377 - 216 = 34011841 is a prime.

It is a super-2 number, since 2×340773772 = 2322535246400258, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34077377.

It is not a weakly prime, because it can be changed into another prime (34077347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17038688 + 17038689.

It is an arithmetic number, because the mean of its divisors is an integer number (17038689).

Almost surely, 234077377 is an apocalyptic number.

It is an amenable number.

34077377 is a deficient number, since it is larger than the sum of its proper divisors (1).

34077377 is an equidigital number, since it uses as much as digits as its factorization.

34077377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86436, while the sum is 38.

The square root of 34077377 is about 5837.5831471594. The cubic root of 34077377 is about 324.2067502489.

The spelling of 34077377 in words is "thirty-four million, seventy-seven thousand, three hundred seventy-seven".