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1668335004 = 2232737317749
BaseRepresentation
bin110001101110000…
…1100010110011100
311022021021012101100
41203130030112130
511404043210004
6433314113100
756225420310
oct14334142634
94267235340
101668335004
11786805866
123a687b790
1320784079b
1411b801b40
159b6eb739
hex6370c59c

1668335004 has 72 divisors (see below), whose sum is σ = 4832828000. Its totient is φ = 475362432.

The previous prime is 1668334999. The next prime is 1668335023. The reversal of 1668335004 is 4005338661.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1668335004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85122 + ... + 102870.

Almost surely, 21668335004 is an apocalyptic number.

1668335004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668335004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416414000).

1668335004 is an abundant number, since it is smaller than the sum of its proper divisors (3164492996).

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

1668335004 is a wasteful number, since it uses less digits than its factorization.

1668335004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18139 (or 18134 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1668335004 is about 40845.2568115320. The cubic root of 1668335004 is about 1186.0265760951.

The spelling of 1668335004 in words is "one billion, six hundred sixty-eight million, three hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 373 746 1119 1492 2238 2611 3357 4476 5222 6714 7833 10444 13428 15666 17749 23499 31332 35498 46998 53247 70996 93996 106494 124243 159741 212988 248486 319482 372729 496972 638964 745458 1118187 1490916 2236374 4472748 6620377 13240754 19861131 26481508 39722262 46342639 59583393 79444524 92685278 119166786 139027917 185370556 238333572 278055834 417083751 556111668 834167502 1668335004