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34413405 = 3513237673
BaseRepresentation
bin1000001101000…
…1101101011101
32101202101022120
42003101231131
532302212110
63225333153
7565336425
oct203215535
971671276
1034413405
1118475334
12b6371b9
13718ba80
1447db485
15304b870
hex20d1b5d

34413405 has 32 divisors (see below), whose sum is σ = 61883136. Its totient is φ = 16203264.

The previous prime is 34413403. The next prime is 34413409. The reversal of 34413405 is 50431443.

34413405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34413405 - 21 = 34413403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34413403) 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 31 ways as a sum of consecutive naturals, for example, 649 + ... + 8321.

It is an arithmetic number, because the mean of its divisors is an integer number (1933848).

Almost surely, 234413405 is an apocalyptic number.

It is an amenable number.

34413405 is a deficient number, since it is larger than the sum of its proper divisors (27469731).

34413405 is a wasteful number, since it uses less digits than its factorization.

34413405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34413405 is about 5866.2939749044. The cubic root of 34413405 is about 325.2689056507.

Adding to 34413405 its reverse (50431443), we get a palindrome (84844848).

The spelling of 34413405 in words is "thirty-four million, four hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 13 15 23 39 65 69 115 195 299 345 897 1495 4485 7673 23019 38365 99749 115095 176479 299247 498745 529437 882395 1496235 2294227 2647185 6882681 11471135 34413405