Search a number
-
+
305083000 = 23531916057
BaseRepresentation
bin10010001011110…
…011001001111000
3210021001211012101
4102023303021320
51111100124000
650134553144
710363106545
oct2213631170
9707054171
10305083000
11147236412
12862087b4
134b28a5b1
142c737bcc
151bbb4e6a
hex122f3278

305083000 has 64 divisors (see below), whose sum is σ = 751514400. Its totient is φ = 115603200.

The previous prime is 305082991. The next prime is 305083033. The reversal of 305083000 is 380503.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 10972 + ... + 27028.

Almost surely, 2305083000 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 305083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375757200).

305083000 is an abundant number, since it is smaller than the sum of its proper divisors (446431400).

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

305083000 is a wasteful number, since it uses less digits than its factorization.

305083000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16097 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 305083000 is about 17466.6253180172. The cubic root of 305083000 is about 673.1926042089.

The spelling of 305083000 in words is "three hundred five million, eighty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 16057 19000 32114 64228 80285 128456 160570 305083 321140 401425 610166 642280 802850 1220332 1525415 1605700 2007125 2440664 3050830 3211400 4014250 6101660 7627075 8028500 12203320 15254150 16057000 30508300 38135375 61016600 76270750 152541500 305083000