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1003428 = 223419163
BaseRepresentation
bin11110100111110100100
31212222110000
43310332210
5224102203
633301300
711346306
oct3647644
91788400
101003428
11625988
12404830
1329195a
141c1976
1514c4a3
hexf4fa4

1003428 has 60 divisors (see below), whose sum is σ = 2778160. Its totient is φ = 314928.

The previous prime is 1003417. The next prime is 1003433. The reversal of 1003428 is 8243001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1003428.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6075 + ... + 6237.

21003428 is an apocalyptic number.

1003428 is a gapful number since it is divisible by the number (18) 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 1003428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389080).

1003428 is an abundant number, since it is smaller than the sum of its proper divisors (1774732).

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

1003428 is a wasteful number, since it uses less digits than its factorization.

1003428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1003428 is about 1001.7125336143. The cubic root of 1003428 is about 100.1141363460.

Subtracting from 1003428 its product of nonzero digits (192), we obtain a triangular number (1003236 = T1416).

Adding to 1003428 its reverse (8243001), we get a palindrome (9246429).

It can be divided in two parts, 1003 and 428, that added together give a triangular number (1431 = T53).

The spelling of 1003428 in words is "one million, three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 163 171 228 324 326 342 489 513 652 684 978 1026 1467 1539 1956 2052 2934 3078 3097 4401 5868 6156 6194 8802 9291 12388 13203 17604 18582 26406 27873 37164 52812 55746 83619 111492 167238 250857 334476 501714 1003428