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30304000 = 2853947
BaseRepresentation
bin111001110011…
…0011100000000
32010000121021101
41303212130000
530224212000
63001304144
7515402566
oct163463400
963017241
1030304000
1116118931
12a195054
13638047c
14404ba36
1529d8e6a
hex1ce6700

30304000 has 72 divisors (see below), whose sum is σ = 75570768. Its totient is φ = 12108800.

The previous prime is 30303997. The next prime is 30304003. The reversal of 30304000 is 40303.

Adding to 30304000 its reverse (40303), we get a palindrome (30344303).

It is an interprime number because it is at equal distance from previous prime (30303997) and next prime (30304003).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30304003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31527 + ... + 32473.

It is an arithmetic number, because the mean of its divisors is an integer number (1049594).

Almost surely, 230304000 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 30304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785384).

30304000 is an abundant number, since it is smaller than the sum of its proper divisors (45266768).

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

30304000 is an frugal number, since it uses more digits than its factorization.

30304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 30304000 is about 5504.9069020284. The cubic root of 30304000 is about 311.7692793499.

The spelling of 30304000 in words is "thirty million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 947 1000 1280 1600 1894 2000 3200 3788 4000 4735 6400 7576 8000 9470 15152 16000 18940 23675 30304 32000 37880 47350 60608 75760 94700 118375 121216 151520 189400 236750 242432 303040 378800 473500 606080 757600 947000 1212160 1515200 1894000 3030400 3788000 6060800 7576000 15152000 30304000