Search a number
-
+
3034140120 = 233451185133
BaseRepresentation
bin1011010011011001…
…0100110111011000
321211110021021210000
42310312110313120
522203214440440
61221024053000
7135121523364
oct26466246730
97743237700
103034140120
111317769420
12708164160
133947a8aab
1420ad722a4
1512b589730
hexb4d94dd8

3034140120 has 160 divisors (see below), whose sum is σ = 11125311120. Its totient is φ = 735540480.

The previous prime is 3034140107. The next prime is 3034140139. The reversal of 3034140120 is 210414303.

It is a super-2 number, since 2×30341401202 = 18412012535587228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3034140093 and 3034140102.

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 39 ways as a sum of consecutive naturals, for example, 6927 + ... + 78206.

Almost surely, 23034140120 is an apocalyptic number.

3034140120 is a gapful number since it is divisible by the number (30) 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 3034140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562655560).

3034140120 is an abundant number, since it is smaller than the sum of its proper divisors (8091171000).

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

3034140120 is a wasteful number, since it uses less digits than its factorization.

3034140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85167 (or 85154 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3034140120 is about 55083.0293284601. The cubic root of 3034140120 is about 1447.6998999074.

Adding to 3034140120 its reverse (210414303), we get a palindrome (3244554423).

The spelling of 3034140120 in words is "three billion, thirty-four million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 85133 170266 255399 340532 425665 510798 681064 766197 851330 936463 1021596 1276995 1532394 1702660 1872926 2043192 2298591 2553990 2809389 3064788 3405320 3745852 3830985 4597182 4682315 5107980 5618778 6129576 6895773 7491704 7661970 8428167 9194364 9364630 10215960 11237556 11492955 13791546 14046945 15323940 16856334 18388728 18729260 22475112 22985910 25284501 27583092 28093890 30647880 33712668 34478865 37458520 42140835 45971820 50569002 55166184 56187780 67425336 68957730 75853503 84281670 91943640 101138004 112375560 126422505 137915460 151707006 168563340 202276008 252845010 275830920 303414012 337126680 379267515 505690020 606828024 758535030 1011380040 1517070060 3034140120