Search a number
-
+
30349440 = 2732511479
BaseRepresentation
bin111001111000…
…1100010000000
32010002220121100
41303301202000
530232140230
63002254400
7515652222
oct163614200
963086540
1030349440
1116149a90
12a1b7400
136398064
144060412
1529e7660
hex1cf1880

30349440 has 192 divisors, whose sum is σ = 114566400. Its totient is φ = 7342080.

The previous prime is 30349439. The next prime is 30349453. The reversal of 30349440 is 4494303.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63121 + ... + 63599.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 230349440 is an apocalyptic number.

30349440 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 30349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

30349440 is an abundant number, since it is smaller than the sum of its proper divisors (84216960).

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

30349440 is a wasteful number, since it uses less digits than its factorization.

30349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 30349440 is about 5509.0325829496. The cubic root of 30349440 is about 311.9250312973.

The spelling of 30349440 in words is "thirty million, three hundred forty-nine thousand, four hundred forty".