[go: up one dir, main page]

Search a number
-
+
30000320 = 265759227
BaseRepresentation
bin111001001110…
…0010011000000
32002110011200222
41302130103000
530140002240
62551002212
7512666330
oct162342300
962404628
1030000320
1115a30759
12a069368
1362a518c
143dad0c0
152978eb5
hex1c9c4c0

30000320 has 112 divisors (see below), whose sum is σ = 83393280. Its totient is φ = 10066944.

The previous prime is 30000319. The next prime is 30000323. The reversal of 30000320 is 2300003.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 30000298 and 30000307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132047 + ... + 132273.

Almost surely, 230000320 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 30000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

30000320 is an abundant number, since it is smaller than the sum of its proper divisors (53392960).

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

30000320 is a wasteful number, since it uses less digits than its factorization.

30000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 30000320 is about 5477.2547868435. The cubic root of 30000320 is about 310.7243553852.

Adding to 30000320 its reverse (2300003), we get a palindrome (32300323).

The spelling of 30000320 in words is "thirty million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 140 160 224 227 236 280 295 320 413 448 454 472 560 590 826 908 944 1120 1135 1180 1589 1652 1816 1888 2065 2240 2270 2360 3178 3304 3632 3776 4130 4540 4720 6356 6608 7264 7945 8260 9080 9440 12712 13216 13393 14528 15890 16520 18160 18880 25424 26432 26786 31780 33040 36320 50848 53572 63560 66080 66965 72640 93751 101696 107144 127120 132160 133930 187502 214288 254240 267860 375004 428576 468755 508480 535720 750008 857152 937510 1071440 1500016 1875020 2142880 3000032 3750040 4285760 6000064 7500080 15000160 30000320