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34074040667 = 2359227311047
BaseRepresentation
bin11111101110111110…
…001001100101011011
310020221200022121112012
4133232332021211123
51024240423300132
623353044540135
72314246365302
oct375676114533
9106850277465
1034074040667
11134a59a9097
12672b3b164b
1332a043b554
141913553439
15d466270b2
hex7eef8995b

34074040667 has 16 divisors (see below), whose sum is σ = 36177338880. Its totient is φ = 32023149312.

The previous prime is 34074040603. The next prime is 34074040727. The reversal of 34074040667 is 76604047043.

It is a cyclic number.

It is not a de Polignac number, because 34074040667 - 26 = 34074040603 is a prime.

It is a super-2 number, since 2×340740406672 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34074048667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3078938 + ... + 3089984.

It is an arithmetic number, because the mean of its divisors is an integer number (2261083680).

Almost surely, 234074040667 is an apocalyptic number.

34074040667 is a deficient number, since it is larger than the sum of its proper divisors (2103298213).

34074040667 is a wasteful number, since it uses less digits than its factorization.

34074040667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13402.

The product of its (nonzero) digits is 338688, while the sum is 41.

The spelling of 34074040667 in words is "thirty-four billion, seventy-four million, forty thousand, six hundred sixty-seven".

Divisors: 1 23 59 1357 2273 11047 52279 134107 254081 651773 3084461 14990779 25109831 577526113 1481480029 34074040667