Search a number
-
+
331343320 = 235711179601
BaseRepresentation
bin10011101111111…
…110010111011000
3212002110222120211
4103233332113120
51134310441240
652513500504
711132241340
oct2357762730
9762428524
10331343320
11160042160
1292b71734
1353853349
1432011d20
151e150bea
hex13bfe5d8

331343320 has 128 divisors (see below), whose sum is σ = 936230400. Its totient is φ = 102528000.

The previous prime is 331343281. The next prime is 331343321. The reversal of 331343320 is 23343133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 331343291 and 331343300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331343321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551020 + ... + 551620.

It is an arithmetic number, because the mean of its divisors is an integer number (7314300).

Almost surely, 2331343320 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 331343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468115200).

331343320 is an abundant number, since it is smaller than the sum of its proper divisors (604887080).

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

331343320 is a wasteful number, since it uses less digits than its factorization.

331343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 331343320 is about 18202.8382402306. The cubic root of 331343320 is about 691.9787212097.

Adding to 331343320 its reverse (23343133), we get a palindrome (354686453).

The spelling of 331343320 in words is "three hundred thirty-one million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 179 220 280 308 358 385 440 601 616 716 770 895 1202 1253 1432 1540 1790 1969 2404 2506 3005 3080 3580 3938 4207 4808 5012 6010 6265 6611 7160 7876 8414 9845 10024 12020 12530 13222 13783 15752 16828 19690 21035 24040 25060 26444 27566 33055 33656 39380 42070 46277 50120 52888 55132 66110 68915 78760 84140 92554 107579 110264 132220 137830 168280 185108 215158 231385 264440 275660 370216 430316 462770 537895 551320 753053 860632 925540 1075790 1183369 1506106 1851080 2151580 2366738 3012212 3765265 4303160 4733476 5916845 6024424 7530530 8283583 9466952 11833690 15061060 16567166 23667380 30122120 33134332 41417915 47334760 66268664 82835830 165671660 331343320