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1998002304 = 27321991283
BaseRepresentation
bin111011100010111…
…0001100010000000
312011020121000220100
41313011301202000
513042442033204
6530132042400
7100340511414
oct16705614200
95136530810
101998002304
11935902781
12479163400
1325ac27cac
1414d4d8d44
15ba61aa39
hex77171880

1998002304 has 96 divisors (see below), whose sum is σ = 6052129200. Its totient is φ = 630941184.

The previous prime is 1998002291. The next prime is 1998002309. The reversal of 1998002304 is 4032008991.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1998002309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23754 + ... + 67529.

Almost surely, 21998002304 is an apocalyptic number.

It is an amenable number.

1998002304 is an abundant number, since it is smaller than the sum of its proper divisors (4054126896).

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

1998002304 is a wasteful number, since it uses less digits than its factorization.

1998002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91322 (or 91307 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1998002304 is about 44699.0190496391. The cubic root of 1998002304 is about 1259.5014202748.

The spelling of 1998002304 in words is "one billion, nine hundred ninety-eight million, two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 91283 182566 273849 365132 547698 730264 821547 1095396 1460528 1643094 1734377 2190792 2921056 3286188 3468754 4381584 5203131 5842112 6572376 6937508 8763168 10406262 11684224 13144752 13875016 15609393 17526336 20812524 26289504 27750032 31218786 35052672 41625048 52579008 55500064 62437572 83250096 105158016 111000128 124875144 166500192 222000256 249750288 333000384 499500576 666000768 999001152 1998002304