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34074349601 is a prime number
BaseRepresentation
bin11111101110111111…
…010101000000100001
310020221200220022022012
4133232333111000201
51024241013141401
623353055322305
72314252123055
oct375677250041
9106850808265
1034074349601
11134a609a206
12672b520395
1332a0519056
1419135d3c65
15d466888bb
hex7eefd5021

34074349601 has 2 divisors, whose sum is σ = 34074349602. Its totient is φ = 34074349600.

The previous prime is 34074349597. The next prime is 34074349627. The reversal of 34074349601 is 10694347043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26439085201 + 7635264400 = 162601^2 + 87380^2 .

It is an emirp because it is prime and its reverse (10694347043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34074349601 - 22 = 34074349597 is a prime.

It is a super-2 number, since 2×340743496012 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34074349651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17037174800 + 17037174801.

It is an arithmetic number, because the mean of its divisors is an integer number (17037174801).

Almost surely, 234074349601 is an apocalyptic number.

It is an amenable number.

34074349601 is a deficient number, since it is larger than the sum of its proper divisors (1).

34074349601 is an equidigital number, since it uses as much as digits as its factorization.

34074349601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 34074349601 in words is "thirty-four billion, seventy-four million, three hundred forty-nine thousand, six hundred one".