Search a number
-
+
3214043420 = 2257193138977
BaseRepresentation
bin1011111110010010…
…0110100100011100
322021222210022201012
42333210212210130
523040243342140
61250532034352
7142434626660
oct27744464434
98258708635
103214043420
1113aa275435
127584629b8
133c2b47953
14226c028a0
1513c274265
hexbf92691c

3214043420 has 96 divisors (see below), whose sum is σ = 8381829120. Its totient is φ = 1010257920.

The previous prime is 3214043387. The next prime is 3214043449. The reversal of 3214043420 is 243404123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62972 + ... + 101948.

It is an arithmetic number, because the mean of its divisors is an integer number (87310720).

Almost surely, 23214043420 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 3214043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190914560).

3214043420 is an abundant number, since it is smaller than the sum of its proper divisors (5167785700).

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

3214043420 is a wasteful number, since it uses less digits than its factorization.

3214043420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39043 (or 39041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3214043420 is about 56692.5340763667. The cubic root of 3214043420 is about 1475.7651370684.

Adding to 3214043420 its reverse (243404123), we get a palindrome (3457447543).

The spelling of 3214043420 in words is "three billion, two hundred fourteen million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 31 35 38 62 70 76 95 124 133 140 155 190 217 266 310 380 434 532 589 620 665 868 1085 1178 1330 2170 2356 2660 2945 4123 4340 5890 8246 11780 16492 20615 38977 41230 77954 82460 155908 194885 272839 389770 545678 740563 779540 1091356 1208287 1364195 1481126 2416574 2728390 2962252 3702815 4833148 5183941 5456780 6041435 7405630 8458009 10367882 12082870 14811260 16916018 20735764 22957453 24165740 25919705 33832036 42290045 45914906 51839410 84580090 91829812 103678820 114787265 160702171 169160180 229574530 321404342 459149060 642808684 803510855 1607021710 3214043420