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34007377 is a prime number
BaseRepresentation
bin1000000110111…
…0100101010001
32100222202100111
42001232211101
532201214002
63212521321
7562025605
oct201564521
970882314
1034007377
1118218278
12b480241
137079011
144733505
152ebb3d7
hex206e951

34007377 has 2 divisors, whose sum is σ = 34007378. Its totient is φ = 34007376.

The previous prime is 34007371. The next prime is 34007383. The reversal of 34007377 is 77370043.

It is a balanced prime because it is at equal distance from previous prime (34007371) and next prime (34007383).

It can be written as a sum of positive squares in only one way, i.e., 19989841 + 14017536 = 4471^2 + 3744^2 .

It is a cyclic number.

It is not a de Polignac number, because 34007377 - 211 = 34005329 is a prime.

It is not a weakly prime, because it can be changed into another prime (34007371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17003688 + 17003689.

It is an arithmetic number, because the mean of its divisors is an integer number (17003689).

Almost surely, 234007377 is an apocalyptic number.

It is an amenable number.

34007377 is a deficient number, since it is larger than the sum of its proper divisors (1).

34007377 is an equidigital number, since it uses as much as digits as its factorization.

34007377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 34007377 is about 5831.5844330679. The cubic root of 34007377 is about 323.9846084494.

The spelling of 34007377 in words is "thirty-four million, seven thousand, three hundred seventy-seven".