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683430 = 2351119109
BaseRepresentation
bin10100110110110100110
31021201111020
42212312212
5133332210
622352010
75544336
oct2466646
91251436
10683430
11427520
1228b606
131ac0c7
1413b0c6
15d7770
hexa6da6

683430 has 64 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 155520.

The previous prime is 683407. The next prime is 683437. The reversal of 683430 is 34386.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 683430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6216 + ... + 6324.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2683430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

683430 is an abundant number, since it is smaller than the sum of its proper divisors (1217370).

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

683430 is a wasteful number, since it uses less digits than its factorization.

683430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 683430 is about 826.6982520848. The cubic root of 683430 is about 88.0841997138.

It can be divided in two parts, 6 and 83430, that added together give a triangular number (83436 = T408).

The spelling of 683430 in words is "six hundred eighty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 109 110 114 165 190 209 218 285 327 330 418 545 570 627 654 1045 1090 1199 1254 1635 2071 2090 2398 3135 3270 3597 4142 5995 6213 6270 7194 10355 11990 12426 17985 20710 22781 31065 35970 45562 62130 68343 113905 136686 227810 341715 683430