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332672016 = 24347167883
BaseRepresentation
bin10011110101000…
…010110000010000
3212011222111012210
4103311002300100
51140131001031
653002152120
711146444155
oct2365026020
9764874183
10332672016
1116086a456
12934b2640
1353bca061
143227a22c
151e314746
hex13d42c10

332672016 has 80 divisors (see below), whose sum is σ = 883943424. Its totient is φ = 107759232.

The previous prime is 332672009. The next prime is 332672047. The reversal of 332672016 is 610276233.

It is a super-2 number, since 2×3326720162 = 221341340459008512, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 376311 + ... + 377193.

Almost surely, 2332672016 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 332672016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441971712).

332672016 is an abundant number, since it is smaller than the sum of its proper divisors (551271408).

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

332672016 is a wasteful number, since it uses less digits than its factorization.

332672016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 332672016 is about 18239.2986707274. The cubic root of 332672016 is about 692.9024389519.

The spelling of 332672016 in words is "three hundred thirty-two million, six hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 167 188 282 334 376 501 564 668 752 883 1002 1128 1336 1766 2004 2256 2649 2672 3532 4008 5298 7064 7849 8016 10596 14128 15698 21192 23547 31396 41501 42384 47094 62792 83002 94188 124503 125584 147461 166004 188376 249006 294922 332008 376752 442383 498012 589844 664016 884766 996024 1179688 1769532 1992048 2359376 3539064 6930667 7078128 13861334 20792001 27722668 41584002 55445336 83168004 110890672 166336008 332672016