Search a number
-
+
352867248 = 243223910253
BaseRepresentation
bin10101000010000…
…101001110110000
3220120222111212100
4111002011032300
51210313222443
655003100400
711513215326
oct2502051660
9816874770
10352867248
11171203428
129a211700
135814b2b6
1434c15d16
1520ea33d3
hex150853b0

352867248 has 60 divisors (see below), whose sum is σ = 991766880. Its totient is φ = 117118848.

The previous prime is 352867243. The next prime is 352867267. The reversal of 352867248 is 842768253.

It is a super-2 number, since 2×3528672482 = 249030589422187008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352867241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29290 + ... + 39542.

It is an arithmetic number, because the mean of its divisors is an integer number (16529448).

Almost surely, 2352867248 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 352867248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495883440).

352867248 is an abundant number, since it is smaller than the sum of its proper divisors (638899632).

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

352867248 is a wasteful number, since it uses less digits than its factorization.

352867248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506 (or 10497 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 352867248 is about 18784.7610578362. The cubic root of 352867248 is about 706.6490565605.

The spelling of 352867248 in words is "three hundred fifty-two million, eight hundred sixty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 5736 8604 10253 11472 17208 20506 30759 34416 41012 61518 82024 92277 123036 164048 184554 246072 369108 492144 738216 1476432 2450467 4900934 7351401 9801868 14702802 19603736 22054203 29405604 39207472 44108406 58811208 88216812 117622416 176433624 352867248