Search a number
-
+
1294328 = 23729797
BaseRepresentation
bin100111011111111111000
32102202111002
410323333320
5312404303
643424132
714000360
oct4737770
92382432
101294328
118044a2
12525048
13364199
142599a0
151a8788
hex13bff8

1294328 has 32 divisors (see below), whose sum is σ = 2872800. Its totient is φ = 534912.

The previous prime is 1294309. The next prime is 1294339. The reversal of 1294328 is 8234921.

1294328 = 4272 + 4282 + ... + 4332.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 1294328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1226 + ... + 2022.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

21294328 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 1294328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436400).

1294328 is an abundant number, since it is smaller than the sum of its proper divisors (1578472).

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

1294328 is a wasteful number, since it uses less digits than its factorization.

1294328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1294328 is about 1137.6853695113. The cubic root of 1294328 is about 108.9803291945.

It can be divided in two parts, 12943 and 28, that multiplied together give a square (362404 = 6022).

The spelling of 1294328 in words is "one million, two hundred ninety-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 797 812 1594 1624 3188 5579 6376 11158 22316 23113 44632 46226 92452 161791 184904 323582 647164 1294328