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331032240 = 243257211853
BaseRepresentation
bin10011101110110…
…010011010110000
3212001220011212100
4103232302122300
51134221012430
652503100400
711126504400
oct2356623260
9761804770
10331032240
1115a94a470
1292a41700
1353774886
1431d70800
151e0dd960
hex13bb26b0

331032240 has 360 divisors, whose sum is σ = 1412440848. Its totient is φ = 68705280.

The previous prime is 331032239. The next prime is 331032259. The reversal of 331032240 is 42230133.

331032240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387654 + ... + 388506.

Almost surely, 2331032240 is an apocalyptic number.

331032240 is a gapful number since it is divisible by the number (30) 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 331032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706220424).

331032240 is an abundant number, since it is smaller than the sum of its proper divisors (1081408608).

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

331032240 is a wasteful number, since it uses less digits than its factorization.

331032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331032240 is about 18194.2914124183. The cubic root of 331032240 is about 691.7620998301.

Adding to 331032240 its reverse (42230133), we get a palindrome (373262373).

The spelling of 331032240 in words is "three hundred thirty-one million, thirty-two thousand, two hundred forty".