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3004100304 = 243891514657
BaseRepresentation
bin1011001100001110…
…1110111011010000
321202100202002220020
42303003232323100
522123022202204
61214032143440
7134305300632
oct26303567320
97670662806
103004100304
111301811027
126ba097b80
1338b4bb95a
14206d92a52
15128b03bd9
hexb30eeed0

3004100304 has 80 divisors (see below), whose sum is σ = 7901458560. Its totient is φ = 983347200.

The previous prime is 3004100251. The next prime is 3004100327. The reversal of 3004100304 is 4030014003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642744 + ... + 647400.

It is an arithmetic number, because the mean of its divisors is an integer number (98768232).

Almost surely, 23004100304 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 3004100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950729280).

3004100304 is an abundant number, since it is smaller than the sum of its proper divisors (4897358256).

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

3004100304 is a wasteful number, since it uses less digits than its factorization.

3004100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3004100304 is about 54809.6734527766. The cubic root of 3004100304 is about 1442.9063446991.

Adding to 3004100304 its reverse (4030014003), we get a palindrome (7034114307).

The spelling of 3004100304 in words is "three billion, four million, one hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 151 178 267 302 356 453 534 604 712 906 1068 1208 1424 1812 2136 2416 3624 4272 4657 7248 9314 13439 13971 18628 26878 27942 37256 40317 53756 55884 74512 80634 107512 111768 161268 215024 223536 322536 414473 645072 703207 828946 1243419 1406414 1657892 2109621 2486838 2812828 3315784 4219242 4973676 5625656 6631568 8438484 9947352 11251312 16876968 19894704 33753936 62585423 125170846 187756269 250341692 375512538 500683384 751025076 1001366768 1502050152 3004100304