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34371407 = 723412127
BaseRepresentation
bin1000001100011…
…1011101001111
32101200020201002
42003013131033
532244341112
63224410515
7565103120
oct203073517
971606632
1034371407
1118446824
12b616a3b
137175915
1447ca047
15303e1c2
hex20c774f

34371407 has 24 divisors (see below), whose sum is σ = 42344448. Its totient is φ = 27276480.

The previous prime is 34371397. The next prime is 34371431. The reversal of 34371407 is 70417343.

It is not a de Polignac number, because 34371407 - 224 = 17594191 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34371407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34371457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270578 + ... + 270704.

It is an arithmetic number, because the mean of its divisors is an integer number (1764352).

Almost surely, 234371407 is an apocalyptic number.

34371407 is a deficient number, since it is larger than the sum of its proper divisors (7973041).

34371407 is a wasteful number, since it uses less digits than its factorization.

34371407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 34371407 is about 5862.7132797025. The cubic root of 34371407 is about 325.1365327725.

It can be divided in two parts, 343 and 71407, that multiplied together give a square (24492601 = 49492).

The spelling of 34371407 in words is "thirty-four million, three hundred seventy-one thousand, four hundred seven".

Divisors: 1 7 23 41 127 161 287 889 943 1681 2921 5207 6601 11767 20447 36449 38663 119761 213487 270641 838327 1494409 4910201 34371407