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332665344 = 2932116563
BaseRepresentation
bin10011110101000…
…001001000000000
3212011222011001200
4103311001020000
51140130242334
653002101200
711146415544
oct2365011000
9764864050
10332665344
11160865440
12934aa800
1353bc6ccb
1432277a24
151e312799
hex13d41200

332665344 has 120 divisors (see below), whose sum is σ = 1047535632. Its totient is φ = 100792320.

The previous prime is 332665339. The next prime is 332665363. The reversal of 332665344 is 443566233.

332665344 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 2×3326653442 = 221332462197276672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332665299 and 332665308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47407 + ... + 53969.

Almost surely, 2332665344 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 332665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523767816).

332665344 is an abundant number, since it is smaller than the sum of its proper divisors (714870288).

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

332665344 is a wasteful number, since it uses less digits than its factorization.

332665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6579 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 332665344 is about 18239.1157680409. The cubic root of 332665344 is about 692.8978066858.

The spelling of 332665344 in words is "three hundred thirty-two million, six hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 6563 8448 12672 13126 16896 19689 25344 26252 39378 50688 52504 59067 72193 78756 105008 118134 144386 157512 210016 216579 236268 288772 315024 420032 433158 472536 577544 630048 649737 840064 866316 945072 1155088 1260096 1299474 1680128 1732632 1890144 2310176 2520192 2598948 3360256 3465264 3780288 4620352 5040384 5197896 6930528 7560576 9240704 10080768 10395792 13861056 15121152 18481408 20791584 27722112 30242304 36962816 41583168 55444224 83166336 110888448 166332672 332665344