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332490384 = 243210122861
BaseRepresentation
bin10011110100010…
…110011010010000
3212011122021001200
4103310112122100
51140104143014
652554231200
711145056502
oct2364263220
9764567050
10332490384
11160755a46
1293425500
1353b65495
143222dd72
151e2caa09
hex13d16690

332490384 has 60 divisors (see below), whose sum is σ = 939765372. Its totient is φ = 109728000.

The previous prime is 332490349. The next prime is 332490391. The reversal of 332490384 is 483094233.

It is a happy number.

332490384 is a `hidden beast` number, since 33 + 249 + 0 + 384 = 666.

332490384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 315843984 + 16646400 = 17772^2 + 4080^2 .

It is a super-2 number, since 2×3324903842 = 221099710904934912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3114 + ... + 25974.

Almost surely, 2332490384 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 332490384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469882686).

332490384 is an abundant number, since it is smaller than the sum of its proper divisors (607274988).

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

332490384 is a wasteful number, since it uses less digits than its factorization.

332490384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22976 (or 22967 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 332490384 is about 18234.3188520986. The cubic root of 332490384 is about 692.7763125561.

The spelling of 332490384 in words is "three hundred thirty-two million, four hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 14544 22861 45722 68583 91444 137166 182888 205749 274332 365776 411498 548664 822996 1097328 1645992 2308961 3291984 4617922 6926883 9235844 13853766 18471688 20780649 27707532 36943376 41561298 55415064 83122596 110830128 166245192 332490384