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3365248 = 2761431
BaseRepresentation
bin1100110101100110000000
320022222020211
430311212000
51330141443
6200043504
740414135
oct14654600
96288224
103365248
1119993a7
121163594
1390a993
1463858c
1546719d
hex335980

3365248 has 32 divisors (see below), whose sum is σ = 6829920. Its totient is φ = 1651200.

The previous prime is 3365237. The next prime is 3365249. The reversal of 3365248 is 8425633.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×33652483 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7593 + ... + 8023.

It is an arithmetic number, because the mean of its divisors is an integer number (213435).

Almost surely, 23365248 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 3365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414960).

3365248 is an abundant number, since it is smaller than the sum of its proper divisors (3464672).

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

3365248 is an equidigital number, since it uses as much as digits as its factorization.

3365248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 3365248 is about 1834.4612288081. The cubic root of 3365248 is about 149.8553865504.

The spelling of 3365248 in words is "three million, three hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 431 488 862 976 1724 1952 3448 3904 6896 7808 13792 26291 27584 52582 55168 105164 210328 420656 841312 1682624 3365248