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3082248 = 2332133789
BaseRepresentation
bin1011110000100000001000
312210121001100
423300200020
51242112443
6150021400
735125101
oct13604010
95717040
103082248
111815814
121047860
1383bc20
145a33a8
1540d3d3
hex2f0808

3082248 has 96 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 912384.

The previous prime is 3082241. The next prime is 3082259. The reversal of 3082248 is 8422803.

It can be written as a sum of positive squares in 4 ways, for example, as 2304324 + 777924 = 1518^2 + 882^2 .

It is not an unprimeable number, because it can be changed into a prime (3082241) 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 23 ways as a sum of consecutive naturals, for example, 34588 + ... + 34676.

Almost surely, 23082248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3082248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

3082248 is an abundant number, since it is smaller than the sum of its proper divisors (6254352).

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

3082248 is a wasteful number, since it uses less digits than its factorization.

3082248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3082248 is about 1755.6332190979. The cubic root of 3082248 is about 145.5311160291.

It can be divided in two parts, 308 and 2248, that added together give a triangular number (2556 = T71).

The spelling of 3082248 in words is "three million, eighty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 89 104 111 117 148 156 178 222 234 267 296 312 333 356 444 468 481 534 666 712 801 888 936 962 1068 1157 1332 1443 1602 1924 2136 2314 2664 2886 3204 3293 3471 3848 4329 4628 5772 6408 6586 6942 8658 9256 9879 10413 11544 13172 13884 17316 19758 20826 26344 27768 29637 34632 39516 41652 42809 59274 79032 83304 85618 118548 128427 171236 237096 256854 342472 385281 513708 770562 1027416 1541124 3082248