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1684466004 = 22313431511663
BaseRepresentation
bin110010001100110…
…1110100101010100
311100101121201221210
41210121232211110
511422210403004
6435051541420
756512503414
oct14431564524
94311551853
101684466004
11794923271
123b015a870
1320ac9ab60
1411da00644
159cd36089
hex6466e954

1684466004 has 96 divisors (see below), whose sum is σ = 4362502144. Its totient is φ = 502588800.

The previous prime is 1684465999. The next prime is 1684466023. The reversal of 1684466004 is 4006644861.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012077 + ... + 1013739.

Almost surely, 21684466004 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 1684466004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181251072).

1684466004 is an abundant number, since it is smaller than the sum of its proper divisors (2678036140).

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

1684466004 is a wasteful number, since it uses less digits than its factorization.

1684466004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 1684466004 is about 41042.2465759368. The cubic root of 1684466004 is about 1189.8368545026.

The spelling of 1684466004 in words is "one billion, six hundred eighty-four million, four hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 151 156 172 258 302 453 516 559 604 906 1118 1663 1677 1812 1963 2236 3326 3354 3926 4989 5889 6493 6652 6708 7852 9978 11778 12986 19479 19956 21619 23556 25972 38958 43238 64857 71509 77916 84409 86476 129714 143018 168818 214527 251113 253227 259428 286036 337636 429054 502226 506454 753339 858108 929617 1004452 1012908 1506678 1859234 2788851 3013356 3264469 3718468 5577702 6528938 9793407 10797859 11155404 13057876 19586814 21595718 32393577 39173628 43191436 64787154 129574308 140372167 280744334 421116501 561488668 842233002 1684466004