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34074003407 = 233721082161
BaseRepresentation
bin11111101110111110…
…000000011111001111
310020221200020201102012
4133232332000133033
51024240421102112
623353044051435
72314246151543
oct375676003717
9106850221365
1034074003407
11134a59830a4
12672b393b7b
1332a04275c2
141913543a23
15d4661b022
hex7eef807cf

34074003407 has 12 divisors (see below), whose sum is σ = 36542446416. Its totient is φ = 31711616640.

The previous prime is 34074003349. The next prime is 34074003409. The reversal of 34074003407 is 70430047043.

It is not a de Polignac number, because 34074003407 - 228 = 33805567951 is a prime.

It is a super-2 number, since 2×340740034072 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34074003409) 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 11 ways as a sum of consecutive naturals, for example, 509594 + ... + 572567.

It is an arithmetic number, because the mean of its divisors is an integer number (3045203868).

Almost surely, 234074003407 is an apocalyptic number.

34074003407 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34074003407 is a deficient number, since it is larger than the sum of its proper divisors (2468443009).

34074003407 is a wasteful number, since it uses less digits than its factorization.

34074003407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082258 (or 1082221 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 32.

The spelling of 34074003407 in words is "thirty-four billion, seventy-four million, three thousand, four hundred seven".

Divisors: 1 23 37 851 1369 31487 1082161 24889703 40039957 920919011 1481478409 34074003407