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30318000 = 2435331163
BaseRepresentation
bin111001110100…
…1110110110000
32010001022110220
41303221312300
530230134000
63001453040
7515461446
oct163516660
963038426
1030318000
11161283a9
12a1a1180
13638695b
144052b96
1529dd1a0
hex1ce9db0

30318000 has 160 divisors (see below), whose sum is σ = 101517312. Its totient is φ = 7776000.

The previous prime is 30317999. The next prime is 30318007. The reversal of 30318000 is 81303.

It is a super-2 number, since 2×303180002 = 1838362248000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (30318007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185919 + ... + 186081.

Almost surely, 230318000 is an apocalyptic number.

30318000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50758656).

30318000 is an abundant number, since it is smaller than the sum of its proper divisors (71199312).

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

30318000 is a wasteful number, since it uses less digits than its factorization.

30318000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 30318000 is about 5506.1783480015. The cubic root of 30318000 is about 311.8172828910.

Adding to 30318000 its reverse (81303), we get a palindrome (30399303).

The spelling of 30318000 in words is "thirty million, three hundred eighteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 163 186 200 240 248 250 300 310 326 372 375 400 465 489 496 500 600 620 652 744 750 775 815 930 978 1000 1200 1240 1304 1488 1500 1550 1630 1860 1956 2000 2325 2445 2480 2608 3000 3100 3260 3720 3875 3912 4075 4650 4890 5053 6000 6200 6520 7440 7750 7824 8150 9300 9780 10106 11625 12225 12400 13040 15159 15500 16300 18600 19560 20212 20375 23250 24450 25265 30318 31000 32600 37200 39120 40424 40750 46500 48900 50530 60636 61125 62000 65200 75795 80848 81500 93000 97800 101060 121272 122250 126325 151590 163000 186000 195600 202120 242544 244500 252650 303180 326000 378975 404240 489000 505300 606360 631625 757950 978000 1010600 1212720 1263250 1515900 1894875 2021200 2526500 3031800 3789750 5053000 6063600 7579500 10106000 15159000 30318000