Search a number
-
+
683353305 = 325314491091
BaseRepresentation
bin101000101110110…
…010010011011001
31202121211221111200
4220232302103121
52344414301210
6151450344413
722635256455
oct5056622331
91677757450
10683353305
1132080a4a8
12170a2b109
13ab76138b
1466a83665
153eed50c0
hex28bb24d9

683353305 has 48 divisors (see below), whose sum is σ = 1226534400. Its totient is φ = 351590400.

The previous prime is 683353283. The next prime is 683353337. The reversal of 683353305 is 503353386.

683353305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 683353305 - 214 = 683336921 is a prime.

It is a super-3 number, since 3×6833533053 (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 683353305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625810 + ... + 626900.

It is an arithmetic number, because the mean of its divisors is an integer number (25552800).

Almost surely, 2683353305 is an apocalyptic number.

It is an amenable number.

683353305 is a deficient number, since it is larger than the sum of its proper divisors (543181095).

683353305 is a wasteful number, since it uses less digits than its factorization.

683353305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 683353305 is about 26141.0272368934. The cubic root of 683353305 is about 880.8090463338.

The spelling of 683353305 in words is "six hundred eighty-three million, three hundred fifty-three thousand, three hundred five".

Divisors: 1 3 5 9 15 31 45 93 155 279 449 465 1091 1347 1395 2245 3273 4041 5455 6735 9819 13919 16365 20205 33821 41757 49095 69595 101463 125271 169105 208785 304389 489859 507315 626355 1469577 1521945 2449295 4408731 7347885 15185629 22043655 45556887 75928145 136670661 227784435 683353305