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47345346 = 232127139149
BaseRepresentation
bin1011010010011…
…0111011000010
310022002101121100
42310212323002
544110022341
64410435230
71113300036
oct264467302
9108071540
1047345346
11247a8294
1213a32b16
139a68cc9
1464061c6
1542533b6
hex2d26ec2

47345346 has 48 divisors (see below), whose sum is σ = 104832000. Its totient is φ = 15440544.

The previous prime is 47345341. The next prime is 47345351. The reversal of 47345346 is 64354374.

It is a happy number.

47345346 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 (47345341) and next prime (47345351).

Its product of digits (120960) is a multiple of the sum of its prime divisors (420).

It is a self number, because there is not a number n which added to its sum of digits gives 47345346.

It is not an unprimeable number, because it can be changed into a prime (47345341) 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 23 ways as a sum of consecutive naturals, for example, 317680 + ... + 317828.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 247345346 is an apocalyptic number.

47345346 is an abundant number, since it is smaller than the sum of its proper divisors (57486654).

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

47345346 is a wasteful number, since it uses less digits than its factorization.

47345346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 420 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 47345346 is about 6880.7954482022. The cubic root of 47345346 is about 361.7643481211.

Subtracting 47345346 from its reverse (64354374), we obtain a triangular number (17009028 = T5832).

The spelling of 47345346 in words is "forty-seven million, three hundred forty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 127 139 149 254 278 298 381 417 447 762 834 894 1143 1251 1341 2286 2502 2682 17653 18923 20711 35306 37846 41422 52959 56769 62133 105918 113538 124266 158877 170307 186399 317754 340614 372798 2630297 5260594 7890891 15781782 23672673 47345346