Search a number
-
+
3999820384 = 257173121093
BaseRepresentation
bin1110111001101000…
…0110101001100000
3101022202100221001201
43232122012221200
531142423223014
61500522010544
7201055624630
oct35632065140
911282327051
103999820384
11177288128a
12937646a54
134b988aa31
1429d3086c0
1518623be74
hexee686a60

3999820384 has 144 divisors (see below), whose sum is σ = 9855294624. Its totient is φ = 1559900160.

The previous prime is 3999820373. The next prime is 3999820421. The reversal of 3999820384 is 4830289993.

It is a happy number.

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, 3658942 + ... + 3660034.

It is an arithmetic number, because the mean of its divisors is an integer number (68439546).

Almost surely, 23999820384 is an apocalyptic number.

3999820384 is a gapful number since it is divisible by the number (34) 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 3999820384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927647312).

3999820384 is an abundant number, since it is smaller than the sum of its proper divisors (5855474240).

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

3999820384 is a wasteful number, since it uses less digits than its factorization.

3999820384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 55.

The square root of 3999820384 is about 63244.1331982659. The cubic root of 3999820384 is about 1587.3772913936.

The spelling of 3999820384 in words is "three billion, nine hundred ninety-nine million, eight hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 68 112 119 124 136 217 224 238 248 272 434 476 496 527 544 868 952 961 992 1054 1093 1736 1904 1922 2108 2186 3472 3689 3808 3844 4216 4372 6727 6944 7378 7651 7688 8432 8744 13454 14756 15302 15376 16337 16864 17488 18581 26908 29512 30604 30752 32674 33883 34976 37162 53816 59024 61208 65348 67766 74324 107632 114359 118048 122416 130067 130696 135532 148648 215264 228718 237181 244832 260134 261392 271064 297296 457436 474362 520268 522784 542128 576011 594592 914872 948724 1040536 1050373 1084256 1152022 1829744 1897448 2081072 2100746 2304044 3659488 3794896 4032077 4162144 4201492 4608088 7352611 7589792 8064154 8402984 9216176 14705222 16128308 16805968 17856341 18432352 29410444 32256616 33611936 35712682 58820888 64513232 71425364 117641776 124994387 129026464 142850728 235283552 249988774 285701456 499977548 571402912 999955096 1999910192 3999820384