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3082272 = 25397331
BaseRepresentation
bin1011110000100000100000
312210121002020
423300200200
51242113042
6150021440
735125134
oct13604040
95717066
103082272
111815836
121047880
1383bc3b
145a33c4
1540d3ec
hex2f0820

3082272 has 48 divisors (see below), whose sum is σ = 8199072. Its totient is φ = 1013760.

The previous prime is 3082271. The next prime is 3082291. The reversal of 3082272 is 2722803.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3082271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9147 + ... + 9477.

It is an arithmetic number, because the mean of its divisors is an integer number (170814).

Almost surely, 23082272 is an apocalyptic number.

3082272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099536).

3082272 is an abundant number, since it is smaller than the sum of its proper divisors (5116800).

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

3082272 is a wasteful number, since it uses less digits than its factorization.

3082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3082272 is about 1755.6400542252. The cubic root of 3082272 is about 145.5314937554.

The spelling of 3082272 in words is "three million, eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 331 388 582 662 776 993 1164 1324 1552 1986 2328 2648 3104 3972 4656 5296 7944 9312 10592 15888 31776 32107 64214 96321 128428 192642 256856 385284 513712 770568 1027424 1541136 3082272