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3840375 = 353721119
BaseRepresentation
bin1110101001100101110111
321020010000010
432221211313
51440343000
6214151303
744433300
oct16514567
97203003
103840375
112193370
121352533
13a46016
1471d7a7
1550cd50
hex3a9977

3840375 has 96 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 1512000.

The previous prime is 3840359. The next prime is 3840391. The reversal of 3840375 is 5730483.

It is an interprime number because it is at equal distance from previous prime (3840359) and next prime (3840391).

It is not a de Polignac number, because 3840375 - 24 = 3840359 is a prime.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202116 + ... + 202134.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

Almost surely, 23840375 is an apocalyptic number.

3840375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3840375 is an abundant number, since it is smaller than the sum of its proper divisors (4695945).

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

3840375 is a wasteful number, since it uses less digits than its factorization.

3840375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3840375 is about 1959.6874750837. The cubic root of 3840375 is about 156.5998029647.

It can be divided in two parts, 3840 and 375, that multiplied together give a square (1440000 = 12002).

The spelling of 3840375 in words is "three million, eight hundred forty thousand, three hundred seventy-five".

Divisors: 1 3 5 7 11 15 19 21 25 33 35 49 55 57 75 77 95 105 125 133 147 165 175 209 231 245 275 285 375 385 399 475 525 539 627 665 735 825 875 931 1045 1155 1225 1375 1425 1463 1617 1925 1995 2375 2625 2695 2793 3135 3325 3675 4125 4389 4655 5225 5775 6125 7125 7315 8085 9625 9975 10241 13475 13965 15675 16625 18375 21945 23275 26125 28875 30723 36575 40425 49875 51205 67375 69825 78375 109725 116375 153615 182875 202125 256025 349125 548625 768075 1280125 3840375