Search a number
-
+
523380312 = 233371326627
BaseRepresentation
bin11111001100100…
…010011001011000
31100110211110211000
4133030202121120
52032441132222
6123533505000
715653442060
oct3714423130
91313743730
10523380312
11249486414
12127342160
138457ccc0
144d7203a0
1530e359ac
hex1f322658

523380312 has 128 divisors (see below), whose sum is σ = 1789401600. Its totient is φ = 138029184.

The previous prime is 523380311. The next prime is 523380317. The reversal of 523380312 is 213083325.

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 (523380311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6343 + ... + 32969.

It is an arithmetic number, because the mean of its divisors is an integer number (13979700).

Almost surely, 2523380312 is an apocalyptic number.

523380312 is a gapful number since it is divisible by the number (52) 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 523380312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894700800).

523380312 is an abundant number, since it is smaller than the sum of its proper divisors (1266021288).

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

523380312 is a wasteful number, since it uses less digits than its factorization.

523380312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26662 (or 26652 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 523380312 is about 22877.5066823288. The cubic root of 523380312 is about 805.8838649075.

The spelling of 523380312 in words is "five hundred twenty-three million, three hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 26627 53254 79881 106508 159762 186389 213016 239643 319524 346151 372778 479286 559167 639048 692302 718929 745556 958572 1038453 1118334 1384604 1437858 1491112 1677501 1917144 2076906 2236668 2423057 2769208 2875716 3115359 3355002 4153812 4473336 4846114 5032503 5751432 6230718 6710004 7269171 8307624 9346077 9692228 10065006 12461436 13420008 14538342 18692154 19384456 20130012 21807513 24922872 29076684 37384308 40260024 43615026 58153368 65422539 74768616 87230052 130845078 174460104 261690156 523380312