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34442415 = 345712149
BaseRepresentation
bin1000001101100…
…0110010101111
32101210212010000
42003120302233
532304124130
63230115343
7565520130
oct203306257
971725100
1034442415
1118495107
12b64bb53
13719c037
144807c87
153055260
hex20d8caf

34442415 has 40 divisors (see below), whose sum is σ = 70567200. Its totient is φ = 15743808.

The previous prime is 34442413. The next prime is 34442417. The reversal of 34442415 is 51424443.

It is a happy number.

34442415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34442413) and next prime (34442417).

It is not a de Polignac number, because 34442415 - 21 = 34442413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442413) 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 39 ways as a sum of consecutive naturals, for example, 3240 + ... + 8909.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180).

Almost surely, 234442415 is an apocalyptic number.

34442415 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34442415 is an abundant number, since it is smaller than the sum of its proper divisors (36124785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34442415 is a wasteful number, since it uses less digits than its factorization.

34442415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12164 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 34442415 is about 5868.7660542911. The cubic root of 34442415 is about 325.3602789659.

Adding to 34442415 its reverse (51424443), we get a palindrome (85866858).

The spelling of 34442415 in words is "thirty-four million, four hundred forty-two thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 12149 36447 60745 85043 109341 182235 255129 328023 425215 546705 765387 984069 1275645 1640115 2296161 3826935 4920345 6888483 11480805 34442415