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331320140 = 225171277673
BaseRepresentation
bin10011101111111…
…000101101001100
3212002102210210022
4103233320231030
51134304221030
652513201312
711132113634
oct2357705514
9762383708
10331320140
111600267a8
1292b60238
1353845928
14320076c4
151e148de5
hex13bf8b4c

331320140 has 48 divisors (see below), whose sum is σ = 742597632. Its totient is φ = 123734016.

The previous prime is 331320137. The next prime is 331320149. The reversal of 331320140 is 41023133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (331320149) by changing a digit.

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, 39344 + ... + 47016.

It is an arithmetic number, because the mean of its divisors is an integer number (15470784).

Almost surely, 2331320140 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 331320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371298816).

331320140 is an abundant number, since it is smaller than the sum of its proper divisors (411277492).

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

331320140 is a wasteful number, since it uses less digits than its factorization.

331320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7824 counting only the distinct ones).

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

The square root of 331320140 is about 18202.2015152014. The cubic root of 331320140 is about 691.9625844316.

Adding to 331320140 its reverse (41023133), we get a palindrome (372343273).

The spelling of 331320140 in words is "three hundred thirty-one million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 635 1270 2159 2540 4318 7673 8636 10795 15346 21590 30692 38365 43180 76730 130441 153460 260882 521764 652205 974471 1304410 1948942 2608820 3897884 4872355 9744710 16566007 19489420 33132014 66264028 82830035 165660070 331320140