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34375407 = 3117971307
BaseRepresentation
bin1000001100100…
…0011011101111
32101200110012020
42003020123233
532300003112
63224441223
7565120563
oct203103357
971613166
1034375407
1118449830
12b619213
1371776a1
1447cb6a3
15304048c
hex20c86ef

34375407 has 16 divisors (see below), whose sum is σ = 50101632. Its totient is φ = 20791520.

The previous prime is 34375381. The next prime is 34375441. The reversal of 34375407 is 70457343.

34375407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34375407 - 219 = 33851119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34375477) 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 in 15 ways as a sum of consecutive naturals, for example, 25648 + ... + 26954.

It is an arithmetic number, because the mean of its divisors is an integer number (3131352).

Almost surely, 234375407 is an apocalyptic number.

34375407 is a deficient number, since it is larger than the sum of its proper divisors (15726225).

34375407 is a wasteful number, since it uses less digits than its factorization.

34375407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118.

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 34375407 is about 5863.0544087532. The cubic root of 34375407 is about 325.1491449580.

The spelling of 34375407 in words is "thirty-four million, three hundred seventy-five thousand, four hundred seven".

Divisors: 1 3 11 33 797 1307 2391 3921 8767 14377 26301 43131 1041679 3125037 11458469 34375407