Search a number
-
+
3029000 = 235313233
BaseRepresentation
bin1011100011100000001000
312200220000012
423203200020
51233412000
6144531052
734513622
oct13434010
95626005
103029000
111789807
121020a88
13820910
1458bc12
153ec735
hex2e3808

3029000 has 64 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 1113600.

The previous prime is 3028997. The next prime is 3029017. The reversal of 3029000 is 9203.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 91204 + 2937796 = 302^2 + 1714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12884 + ... + 13116.

Almost surely, 23029000 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 3029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

3029000 is an abundant number, since it is smaller than the sum of its proper divisors (4636840).

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

3029000 is a wasteful number, since it uses less digits than its factorization.

3029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3029000 is about 1740.4022523543. The cubic root of 3029000 is about 144.6881924359.

The spelling of 3029000 in words is "three million, twenty-nine thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 233 250 260 325 466 500 520 650 932 1000 1165 1300 1625 1864 2330 2600 3029 3250 4660 5825 6058 6500 9320 11650 12116 13000 15145 23300 24232 29125 30290 46600 58250 60580 75725 116500 121160 151450 233000 302900 378625 605800 757250 1514500 3029000