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304420464 = 24331016977
BaseRepresentation
bin10010001001010…
…001011001110000
3210012211011101000
4102021101121300
51110412423324
650112442000
710354350135
oct2211213160
9705734330
10304420464
11146923667
1285b49300
134b0b7b6a
142c60458c
151bad39c9
hex12251670

304420464 has 80 divisors (see below), whose sum is σ = 882577440. Its totient is φ = 100454400.

The previous prime is 304420447. The next prime is 304420481. The reversal of 304420464 is 464024403.

It is an interprime number because it is at equal distance from previous prime (304420447) and next prime (304420481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 40144 + ... + 47120.

It is an arithmetic number, because the mean of its divisors is an integer number (11032218).

Almost surely, 2304420464 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 304420464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441288720).

304420464 is an abundant number, since it is smaller than the sum of its proper divisors (578156976).

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

304420464 is a wasteful number, since it uses less digits than its factorization.

304420464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 304420464 is about 17447.6492399406. The cubic root of 304420464 is about 672.7049362750.

Adding to 304420464 its reverse (464024403), we get a palindrome (768444867).

The spelling of 304420464 in words is "three hundred four million, four hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4848 5454 6977 7272 10908 13954 14544 20931 21816 27908 41862 43632 55816 62793 83724 111632 125586 167448 188379 251172 334896 376758 502344 704677 753516 1004688 1409354 1507032 2114031 2818708 3014064 4228062 5637416 6342093 8456124 11274832 12684186 16912248 19026279 25368372 33824496 38052558 50736744 76105116 101473488 152210232 304420464