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387696984 = 233414783101
BaseRepresentation
bin10111000110111…
…100100101011000
31000000112001021120
4113012330211120
51243222300414
6102245405240
712415240623
oct2706744530
91000461246
10387696984
11189932534
12a9a09820
13624246cc
14396c0dba
15240832a9
hex171bc958

387696984 has 128 divisors (see below), whose sum is σ = 1036385280. Its totient is φ = 120704000.

The previous prime is 387696983. The next prime is 387696997. The reversal of 387696984 is 489696783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387696983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3838534 + ... + 3838634.

It is an arithmetic number, because the mean of its divisors is an integer number (8096760).

Almost surely, 2387696984 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 387696984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

387696984 is an abundant number, since it is smaller than the sum of its proper divisors (648688296).

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

387696984 is a wasteful number, since it uses less digits than its factorization.

387696984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 60.

The square root of 387696984 is about 19690.0224479303. The cubic root of 387696984 is about 729.1733834672.

It can be divided in two parts, 38769 and 6984, that added together give a triangular number (45753 = T302).

The spelling of 387696984 in words is "three hundred eighty-seven million, six hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 41 47 82 83 94 101 123 141 164 166 188 202 246 249 282 303 328 332 376 404 492 498 564 606 664 808 984 996 1128 1212 1927 1992 2424 3403 3854 3901 4141 4747 5781 6806 7708 7802 8282 8383 9494 10209 11562 11703 12423 13612 14241 15416 15604 16564 16766 18988 20418 23124 23406 24846 25149 27224 28482 31208 33128 33532 37976 40836 46248 46812 49692 50298 56964 67064 81672 93624 99384 100596 113928 159941 194627 201192 319882 343703 389254 394001 479823 583881 639764 687406 778508 788002 959646 1031109 1167762 1182003 1279528 1374812 1557016 1576004 1919292 2062218 2335524 2364006 2749624 3152008 3838584 4124436 4671048 4728012 8248872 9456024 16154041 32308082 48462123 64616164 96924246 129232328 193848492 387696984