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332730048 = 2637376691
BaseRepresentation
bin10011110101010…
…000111011000000
3212012002102211010
4103311100323000
51140134330143
653003320520
711150105310
oct2365207300
9765072733
10332730048
111608aa012
1293520140
1353c1a5b1
1432293440
151e326a33
hex13d50ec0

332730048 has 112 divisors (see below), whose sum is σ = 1033458944. Its totient is φ = 92482560.

The previous prime is 332730043. The next prime is 332730059. The reversal of 332730048 is 840037233.

332730048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3327300482 = 221418569684164608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332729997 and 332730024.

It is not an unprimeable number, because it can be changed into a prime (332730043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46383 + ... + 53073.

It is an arithmetic number, because the mean of its divisors is an integer number (9227312).

Almost surely, 2332730048 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 332730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516729472).

332730048 is an abundant number, since it is smaller than the sum of its proper divisors (700728896).

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

332730048 is a wasteful number, since it uses less digits than its factorization.

332730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 332730048 is about 18240.8894519977. The cubic root of 332730048 is about 692.9427270580.

The spelling of 332730048 in words is "three hundred thirty-two million, seven hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 6691 7104 8288 12432 13382 16576 20073 24864 26764 40146 46837 49728 53528 80292 93674 107056 140511 160584 187348 214112 247567 281022 321168 374696 428224 495134 562044 642336 742701 749392 990268 1124088 1284672 1485402 1498784 1732969 1980536 2248176 2970804 2997568 3465938 3961072 4496352 5198907 5941608 6931876 7922144 8992704 10397814 11883216 13863752 15844288 20795628 23766432 27727504 41591256 47532864 55455008 83182512 110910016 166365024 332730048