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304687104 = 2113101491
BaseRepresentation
bin10010001010010…
…010100000000000
3210020022201010120
4102022102200000
51110444441404
650122300240
710356540411
oct2212224000
9706281116
10304687104
11146a95a27
1286057680
134b17c337
142c673808
151bb379d9
hex12292800

304687104 has 96 divisors (see below), whose sum is σ = 822013920. Its totient is φ = 100352000.

The previous prime is 304687091. The next prime is 304687133. The reversal of 304687104 is 401786403.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 620299 + ... + 620789.

It is an arithmetic number, because the mean of its divisors is an integer number (8562645).

Almost surely, 2304687104 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 304687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411006960).

304687104 is an abundant number, since it is smaller than the sum of its proper divisors (517326816).

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

304687104 is a wasteful number, since it uses less digits than its factorization.

304687104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 304687104 is about 17455.2887114479. The cubic root of 304687104 is about 672.9012849891.

The spelling of 304687104 in words is "three hundred four million, six hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 491 512 606 768 808 982 1024 1212 1473 1536 1616 1964 2048 2424 2946 3072 3232 3928 4848 5892 6144 6464 7856 9696 11784 12928 15712 19392 23568 25856 31424 38784 47136 49591 51712 62848 77568 94272 99182 103424 125696 148773 155136 188544 198364 206848 251392 297546 310272 377088 396728 502784 595092 620544 754176 793456 1005568 1190184 1508352 1586912 2380368 3016704 3173824 4760736 6347648 9521472 12695296 19042944 25390592 38085888 50781184 76171776 101562368 152343552 304687104