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331921152 = 283416007
BaseRepresentation
bin10011110010001…
…011011100000000
3212010120100020000
4103302023130000
51134432434102
652534120000
711140166103
oct2362133400
9763510200
10331921152
111603a7302
12931b0000
13539c6364
143212273a
151e21701c
hex13c8b700

331921152 has 90 divisors (see below), whose sum is σ = 989790648. Its totient is φ = 110633472.

The previous prime is 331921151. The next prime is 331921157. The reversal of 331921152 is 251129133.

It is a super-2 number, since 2×3319211522 = 220343302290014208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331921151) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12733 + ... + 28739.

Almost surely, 2331921152 is an apocalyptic number.

331921152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494895324).

331921152 is an abundant number, since it is smaller than the sum of its proper divisors (657869496).

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

331921152 is an equidigital number, since it uses as much as digits as its factorization.

331921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16012 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 331921152 is about 18218.7033567156. The cubic root of 331921152 is about 692.3807364981.

The spelling of 331921152 in words is "three hundred thirty-one million, nine hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 16007 20736 32014 48021 64028 96042 128056 144063 192084 256112 288126 384168 432189 512224 576252 768336 864378 1024448 1152504 1296567 1536672 1728756 2048896 2305008 2593134 3073344 3457512 4097792 4610016 5186268 6146688 6915024 9220032 10372536 12293376 13830048 18440064 20745072 27660096 36880128 41490144 55320192 82980288 110640384 165960576 331921152