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314028 = 2232111361
BaseRepresentation
bin1001100101010101100
3120221202200
41030222230
540022103
610421500
72445351
oct1145254
9527680
10314028
111a4a30
12131890
13acc20
1482628
15630a3
hex4caac

314028 has 72 divisors (see below), whose sum is σ = 947856. Its totient is φ = 86400.

The previous prime is 314021. The next prime is 314059. The reversal of 314028 is 820413.

It is a happy number.

314028 is nontrivially palindromic in base 14.

314028 is a nontrivial binomial coefficient, being equal to C(793, 2).

It is a super-2 number, since 2×3140282 = 197227169568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 314028.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314028.

It is not an unprimeable number, because it can be changed into a prime (314021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5118 + ... + 5178.

2314028 is an apocalyptic number.

314028 is the 792-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473928).

314028 is an abundant number, since it is smaller than the sum of its proper divisors (633828).

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

314028 is a wasteful number, since it uses less digits than its factorization.

314028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

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

The square root of 314028 is about 560.3820125593. The cubic root of 314028 is about 67.9708641039.

The spelling of 314028 in words is "three hundred fourteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 61 66 78 99 117 122 132 143 156 183 198 234 244 286 366 396 429 468 549 572 671 732 793 858 1098 1287 1342 1586 1716 2013 2196 2379 2574 2684 3172 4026 4758 5148 6039 7137 8052 8723 9516 12078 14274 17446 24156 26169 28548 34892 52338 78507 104676 157014 314028