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30310984 = 23112173181
BaseRepresentation
bin111001110100…
…0001001001000
32010000221212001
41303220021020
530224422414
63001400344
7515432134
oct163501110
963027761
1030310984
1116123100
12a1990b4
1363836c2
1440503c4
1529db074
hex1ce8248

30310984 has 48 divisors (see below), whose sum is σ = 63177660. Its totient is φ = 13622400.

The previous prime is 30310979. The next prime is 30311041. The reversal of 30310984 is 48901303.

It can be written as a sum of positive squares in 2 ways, for example, as 30008484 + 302500 = 5478^2 + 550^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167374 + ... + 167554.

Almost surely, 230310984 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 30310984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31588830).

30310984 is an abundant number, since it is smaller than the sum of its proper divisors (32866676).

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

30310984 is a wasteful number, since it uses less digits than its factorization.

30310984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 30310984 is about 5505.5412086370. The cubic root of 30310984 is about 311.7932281069.

The spelling of 30310984 in words is "thirty million, three hundred ten thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 121 173 181 242 346 362 484 692 724 968 1384 1448 1903 1991 3806 3982 7612 7964 15224 15928 20933 21901 31313 41866 43802 62626 83732 87604 125252 167464 175208 250504 344443 688886 1377772 2755544 3788873 7577746 15155492 30310984