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3000375 = 33537127
BaseRepresentation
bin1011011100100000110111
312122102202000
423130200313
51232003000
6144150343
734334310
oct13344067
95572660
103000375
11176a254
1210083b3
13810891
14581607
153e4000
hex2dc837

3000375 has 64 divisors (see below), whose sum is σ = 6389760. Its totient is φ = 1360800.

The previous prime is 3000359. The next prime is 3000377. The reversal of 3000375 is 5730003.

It is not a de Polignac number, because 3000375 - 24 = 3000359 is a prime.

3000375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23562 + ... + 23688.

It is an arithmetic number, because the mean of its divisors is an integer number (99840).

Almost surely, 23000375 is an apocalyptic number.

3000375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3000375 is an abundant number, since it is smaller than the sum of its proper divisors (3389385).

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

3000375 is a wasteful number, since it uses less digits than its factorization.

3000375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 3000375 is about 1732.1590573617. The cubic root of 3000375 is about 144.2309661536.

Adding to 3000375 its reverse (5730003), we get a palindrome (8730378).

It can be divided in two parts, 3000 and 375, that added together give a cube (3375 = 153).

The spelling of 3000375 in words is "three million, three hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 127 135 175 189 225 315 375 381 525 635 675 875 889 945 1125 1143 1575 1905 2625 2667 3175 3375 3429 4445 4725 5715 7875 8001 9525 13335 15875 17145 22225 23625 24003 28575 40005 47625 66675 85725 111125 120015 142875 200025 333375 428625 600075 1000125 3000375