Search a number
-
+
30412944 = 24321271663
BaseRepresentation
bin111010000000…
…1000010010000
32010020010201100
41310001002100
530241203234
63003504400
7516335322
oct164010220
963203640
1030412944
1116192771
12a228100
1363bac33
144079612
152a0b399
hex1d01090

30412944 has 60 divisors (see below), whose sum is σ = 85835776. Its totient is φ = 10051776.

The previous prime is 30412919. The next prime is 30412951. The reversal of 30412944 is 44921403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17457 + ... + 19119.

Almost surely, 230412944 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 30412944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42917888).

30412944 is an abundant number, since it is smaller than the sum of its proper divisors (55422832).

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

30412944 is a wasteful number, since it uses less digits than its factorization.

30412944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30412944 is about 5514.7931964852. The cubic root of 30412944 is about 312.1424398918.

The spelling of 30412944 in words is "thirty million, four hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1524 1663 2032 2286 3048 3326 4572 4989 6096 6652 9144 9978 13304 14967 18288 19956 26608 29934 39912 59868 79824 119736 211201 239472 422402 633603 844804 1267206 1689608 1900809 2534412 3379216 3801618 5068824 7603236 10137648 15206472 30412944