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331212016 = 24291315449
BaseRepresentation
bin10011101111011…
…110010011110000
3212002020022110201
4103233132103300
51134242241031
652511004544
711131153462
oct2357362360
9762208421
10331212016
1115aa62543
1292b09754
1353808655
1431dba132
151e126d61
hex13bde4f0

331212016 has 40 divisors (see below), whose sum is σ = 669042000. Its totient is φ = 158645760.

The previous prime is 331211989. The next prime is 331212031. The reversal of 331212016 is 610212133.

It is a junction number, because it is equal to n+sod(n) for n = 331211984 and 331212002.

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 7 ways as a sum of consecutive naturals, for example, 58060 + ... + 63508.

It is an arithmetic number, because the mean of its divisors is an integer number (16726050).

Almost surely, 2331212016 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 331212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334521000).

331212016 is an abundant number, since it is smaller than the sum of its proper divisors (337829984).

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

331212016 is a wasteful number, since it uses less digits than its factorization.

331212016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 331212016 is about 18199.2311925532. The cubic root of 331212016 is about 691.8873038659.

Adding to 331212016 its reverse (610212133), we get a palindrome (941424149).

The spelling of 331212016 in words is "three hundred thirty-one million, two hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 29 58 116 131 232 262 464 524 1048 2096 3799 5449 7598 10898 15196 21796 30392 43592 60784 87184 158021 316042 632084 713819 1264168 1427638 2528336 2855276 5710552 11421104 20700751 41401502 82803004 165606008 331212016