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332123120 = 24573111907
BaseRepresentation
bin10011110010111…
…100101111110000
3212010221121021022
4103302330233300
51140010414440
652542315012
711141666660
oct2362745760
9763847238
10332123120
1116052501a
1293288a68
1353a67274
14321761a0
151e256cb5
hex13cbcbf0

332123120 has 80 divisors (see below), whose sum is σ = 885800448. Its totient is φ = 113445120.

The previous prime is 332123117. The next prime is 332123147. The reversal of 332123120 is 21321233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3321231202 = 220611533677068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173207 + ... + 175113.

Almost surely, 2332123120 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 332123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442900224).

332123120 is an abundant number, since it is smaller than the sum of its proper divisors (553677328).

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

332123120 is a wasteful number, since it uses less digits than its factorization.

332123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 332123120 is about 18224.2453890415. The cubic root of 332123120 is about 692.5211417301.

Adding to 332123120 its reverse (21321233), we get a palindrome (353444353).

The spelling of 332123120 in words is "three hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 311 560 622 1244 1555 1907 2177 2488 3110 3814 4354 4976 6220 7628 8708 9535 10885 12440 13349 15256 17416 19070 21770 24880 26698 30512 34832 38140 43540 53396 66745 76280 87080 106792 133490 152560 174160 213584 266980 533960 593077 1067920 1186154 2372308 2965385 4151539 4744616 5930770 8303078 9489232 11861540 16606156 20757695 23723080 33212312 41515390 47446160 66424624 83030780 166061560 332123120