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30741480 = 233257111109
BaseRepresentation
bin111010101000…
…1001111101000
32010211211101100
41311101033220
530332211410
63014521400
7522204210
oct165211750
963754340
1030741480
1116397590
12a366260
1364a4633
144123240
152a738c0
hex1d513e8

30741480 has 192 divisors, whose sum is σ = 124675200. Its totient is φ = 6382080.

The previous prime is 30741467. The next prime is 30741497. The reversal of 30741480 is 8414703.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27166 + ... + 28274.

It is an arithmetic number, because the mean of its divisors is an integer number (649350).

Almost surely, 230741480 is an apocalyptic number.

30741480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 5544×5545.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30741480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62337600).

30741480 is an abundant number, since it is smaller than the sum of its proper divisors (93933720).

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

30741480 is a wasteful number, since it uses less digits than its factorization.

30741480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 30741480 is about 5544.4999774551. The cubic root of 30741480 is about 313.2623902563.

It can be divided in two parts, 3074 and 1480, that added together give a palindrome (4554).

The spelling of 30741480 in words is "thirty million, seven hundred forty-one thousand, four hundred eighty".