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30331000 = 235372619
BaseRepresentation
bin111001110110…
…1000001111000
32010001222022101
41303231001320
530231043000
63002033144
7515544400
oct163550170
963058271
1030331000
1116137147
12a1a87b4
13638c84b
144057800
1529e1e6a
hex1ced078

30331000 has 96 divisors (see below), whose sum is σ = 82695600. Its totient is φ = 10382400.

The previous prime is 30330977. The next prime is 30331003. The reversal of 30331000 is 13303.

It is a happy number.

It is a super-2 number, since 2×303310002 = 1839939122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30331003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48691 + ... + 49309.

Almost surely, 230331000 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 30331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41347800).

30331000 is an abundant number, since it is smaller than the sum of its proper divisors (52364600).

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

30331000 is a wasteful number, since it uses less digits than its factorization.

30331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 30331000 is about 5507.3587135759. The cubic root of 30331000 is about 311.8618443774.

Adding to 30331000 its reverse (13303), we get a palindrome (30344303).

The spelling of 30331000 in words is "thirty million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 619 700 875 980 1000 1225 1238 1400 1750 1960 2450 2476 3095 3500 4333 4900 4952 6125 6190 7000 8666 9800 12250 12380 15475 17332 21665 24500 24760 30331 30950 34664 43330 49000 60662 61900 77375 86660 108325 121324 123800 151655 154750 173320 216650 242648 303310 309500 433300 541625 606620 619000 758275 866600 1083250 1213240 1516550 2166500 3033100 3791375 4333000 6066200 7582750 15165500 30331000