Search a number
-
+
1770328 = 237101313
BaseRepresentation
bin110110000001101011000
310022221102201
412300031120
5423122303
6101535544
721022210
oct6601530
93287381
101770328
11aaa08a
127145b4
1349ca41
14341240
1524e81d
hex1b0358

1770328 has 32 divisors (see below), whose sum is σ = 3843360. Its totient is φ = 748800.

The previous prime is 1770313. The next prime is 1770331. The reversal of 1770328 is 8230771.

It is a happy number.

It is a super-2 number, since 2×17703282 = 6268122455168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1770296 and 1770305.

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, 5500 + ... + 5812.

It is an arithmetic number, because the mean of its divisors is an integer number (120105).

21770328 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 1770328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921680).

1770328 is an abundant number, since it is smaller than the sum of its proper divisors (2073032).

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

1770328 is a wasteful number, since it uses less digits than its factorization.

1770328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 1770328 is about 1330.5367338033. The cubic root of 1770328 is about 120.9719216318.

The spelling of 1770328 in words is "one million, seven hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 101 202 313 404 626 707 808 1252 1414 2191 2504 2828 4382 5656 8764 17528 31613 63226 126452 221291 252904 442582 885164 1770328