Search a number
-
+
3114430230 = 2352337432837
BaseRepresentation
bin1011100110100010…
…0110111100010110
322001001100110002210
42321220212330112
522334243231410
61233013014250
7140115135342
oct27150467426
98031313083
103114430230
11135901858a
1272b024386
133a830b232
142178b2622
15133649220
hexb9a26f16

3114430230 has 128 divisors (see below), whose sum is σ = 8199595008. Its totient is φ = 754693632.

The previous prime is 3114430223. The next prime is 3114430237. The reversal of 3114430230 is 320344113.

It is an interprime number because it is at equal distance from previous prime (3114430223) and next prime (3114430237).

It is a junction number, because it is equal to n+sod(n) for n = 3114430197 and 3114430206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114430237) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1096372 + ... + 1099208.

It is an arithmetic number, because the mean of its divisors is an integer number (64059336).

Almost surely, 23114430230 is an apocalyptic number.

3114430230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114430230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099797504).

3114430230 is an abundant number, since it is smaller than the sum of its proper divisors (5085164778).

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

3114430230 is a wasteful number, since it uses less digits than its factorization.

3114430230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3114430230 is about 55807.0804647582. The cubic root of 3114430230 is about 1460.3586768110.

Adding to 3114430230 its reverse (320344113), we get a palindrome (3434774343).

The spelling of 3114430230 in words is "three billion, one hundred fourteen million, four hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 37 43 46 69 74 86 111 115 129 138 185 215 222 230 258 345 370 430 555 645 690 851 989 1110 1290 1591 1702 1978 2553 2837 2967 3182 4255 4773 4945 5106 5674 5934 7955 8510 8511 9546 9890 12765 14185 14835 15910 17022 23865 25530 28370 29670 36593 42555 47730 65251 73186 85110 104969 109779 121991 130502 182965 195753 209938 219558 243982 314907 326255 365930 365973 391506 524845 548895 609955 629814 652510 731946 978765 1049690 1097790 1219910 1574535 1829865 1957530 2414287 2805793 3149070 3659730 4513667 4828574 5611586 7242861 8417379 9027334 12071435 13541001 14028965 14485722 16834758 22568335 24142870 27082002 28057930 36214305 42086895 45136670 67705005 72428610 84173790 103814341 135410010 207628682 311443023 519071705 622886046 1038143410 1557215115 3114430230