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30410000 = 24543041
BaseRepresentation
bin111010000000…
…0010100010000
32010012222200022
41310000110100
530241110000
63003443012
7516323615
oct164002420
963188608
1030410000
1116190535
12a226468
1363b97aa
14407850c
152a0a585
hex1d00510

30410000 has 50 divisors (see below), whose sum is σ = 73649862. Its totient is φ = 12160000.

The previous prime is 30409997. The next prime is 30410011. The reversal of 30410000 is 1403.

30410000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 5 ways, for example, as 3701776 + 26708224 = 1924^2 + 5168^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 30410000.

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 9 ways as a sum of consecutive naturals, for example, 8480 + ... + 11520.

Almost surely, 230410000 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 30410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36824931).

30410000 is an abundant number, since it is smaller than the sum of its proper divisors (43239862).

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

30410000 is an equidigital number, since it uses as much as digits as its factorization.

30410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 30410000 is about 5514.5262715849. The cubic root of 30410000 is about 312.1323676783.

Adding to 30410000 its reverse (1403), we get a palindrome (30411403).

The spelling of 30410000 in words is "thirty million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3041 5000 6082 10000 12164 15205 24328 30410 48656 60820 76025 121640 152050 243280 304100 380125 608200 760250 1216400 1520500 1900625 3041000 3801250 6082000 7602500 15205000 30410000