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332485648 = 241110318341
BaseRepresentation
bin10011110100010…
…101010000010000
3212011122000120021
4103310111100100
51140104020043
652554153224
711145036625
oct2364252020
9764560507
10332485648
11160752430
1293422814
1353b63291
143222c34c
151e2c93ed
hex13d15410

332485648 has 40 divisors (see below), whose sum is σ = 709615296. Its totient is φ = 149654400.

The previous prime is 332485627. The next prime is 332485649. The reversal of 332485648 is 846584233.

332485648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3324856482 = 221093412251959808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332485649) 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 7 ways as a sum of consecutive naturals, for example, 8958 + ... + 27298.

Almost surely, 2332485648 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 332485648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354807648).

332485648 is an abundant number, since it is smaller than the sum of its proper divisors (377129648).

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

332485648 is a wasteful number, since it uses less digits than its factorization.

332485648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463 (or 18457 counting only the distinct ones).

The product of its digits is 552960, while the sum is 43.

The square root of 332485648 is about 18234.1889866262. The cubic root of 332485648 is about 692.7730232337.

The spelling of 332485648 in words is "three hundred thirty-two million, four hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1648 2266 4532 9064 18128 18341 36682 73364 146728 201751 293456 403502 807004 1614008 1889123 3228016 3778246 7556492 15112984 20780353 30225968 41560706 83121412 166242824 332485648