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3007248 = 243314347
BaseRepresentation
bin1011011110001100010000
312122210011120
423132030100
51232212443
6144242240
734363326
oct13361420
95583146
103007248
111774432
121010380
13813a4a
14583d16
153e6083
hex2de310

3007248 has 80 divisors (see below), whose sum is σ = 8380416. Its totient is φ = 927360.

The previous prime is 3007247. The next prime is 3007253. The reversal of 3007248 is 8427003.

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 (3007241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63961 + ... + 64007.

Almost surely, 23007248 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 3007248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190208).

3007248 is an abundant number, since it is smaller than the sum of its proper divisors (5373168).

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

3007248 is a wasteful number, since it uses less digits than its factorization.

3007248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

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

The square root of 3007248 is about 1734.1418627090. The cubic root of 3007248 is about 144.3410127827.

The spelling of 3007248 in words is "three million, seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 47 48 62 86 93 94 124 129 141 172 186 188 248 258 282 344 372 376 496 516 564 688 744 752 1032 1128 1333 1457 1488 2021 2064 2256 2666 2914 3999 4042 4371 5332 5828 6063 7998 8084 8742 10664 11656 12126 15996 16168 17484 21328 23312 24252 31992 32336 34968 48504 62651 63984 69936 97008 125302 187953 250604 375906 501208 751812 1002416 1503624 3007248