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331132340 = 225711534057
BaseRepresentation
bin10011101111001…
…010110110110100
3212002002021011202
4103233022312310
51134232213330
652505152032
711130402260
oct2357126664
9762067152
10331132340
1115aa086a0
1292a8b618
13537ab2c6
1431d990a0
151e10d445
hex13bcadb4

331132340 has 96 divisors (see below), whose sum is σ = 883540224. Its totient is φ = 101237760.

The previous prime is 331132337. The next prime is 331132387. The reversal of 331132340 is 43231133.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 79592 + ... + 83648.

It is an arithmetic number, because the mean of its divisors is an integer number (9203544).

Almost surely, 2331132340 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 331132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441770112).

331132340 is an abundant number, since it is smaller than the sum of its proper divisors (552407884).

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

331132340 is a wasteful number, since it uses less digits than its factorization.

331132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 331132340 is about 18197.0420673251. The cubic root of 331132340 is about 691.8318195325.

Adding to 331132340 its reverse (43231133), we get a palindrome (374363473).

It can be divided in two parts, 33113 and 2340, that added together give a palindrome (35453).

The spelling of 331132340 in words is "three hundred thirty-one million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 265 308 371 385 530 583 742 770 1060 1166 1484 1540 1855 2332 2915 3710 4057 4081 5830 7420 8114 8162 11660 16228 16324 20285 20405 28399 40570 40810 44627 56798 81140 81620 89254 113596 141995 178508 215021 223135 283990 312389 430042 446270 567980 624778 860084 892540 1075105 1249556 1505147 1561945 2150210 2365231 3010294 3123890 4300420 4730462 6020588 6247780 7525735 9460924 11826155 15051470 16556617 23652310 30102940 33113234 47304620 66226468 82783085 165566170 331132340