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4083345 = 335729149
BaseRepresentation
bin1111100100111010010001
321200110022000
433210322101
52021131340
6223304213
746464540
oct17447221
97613260
104083345
112339972
12144b069
13acc7a6
14784157
15559d30
hex3e4e91

4083345 has 64 divisors (see below), whose sum is σ = 8640000. Its totient is φ = 1790208.

The previous prime is 4083341. The next prime is 4083361. The reversal of 4083345 is 5433804.

It is a happy number.

It is not a de Polignac number, because 4083345 - 22 = 4083341 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (4083341) 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, 27331 + ... + 27479.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 24083345 is an apocalyptic number.

4083345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4083345 is an abundant number, since it is smaller than the sum of its proper divisors (4556655).

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

4083345 is a wasteful number, since it uses less digits than its factorization.

4083345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4083345 is about 2020.7288289130. The cubic root of 4083345 is about 159.8350513623.

The spelling of 4083345 in words is "four million, eighty-three thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 87 105 135 145 149 189 203 261 315 435 447 609 745 783 945 1015 1043 1305 1341 1827 2235 3045 3129 3915 4023 4321 5215 5481 6705 9135 9387 12963 15645 20115 21605 27405 28161 30247 38889 46935 64815 90741 116667 140805 151235 194445 272223 453705 583335 816669 1361115 4083345