Search a number
-
+
3134343312 = 2432173833343
BaseRepresentation
bin1011101011010010…
…0100100010010000
322002102211010201100
42322310210202100
522404342441222
61235003504400
7140446323102
oct27264444220
98072733640
103134343312
111369289581
12735828100
133ac490c19
1421a3b7572
1513527e4ac
hexbad24890

3134343312 has 120 divisors (see below), whose sum is σ = 9314832384. Its totient is φ = 980462592.

The previous prime is 3134343299. The next prime is 3134343313. The reversal of 3134343312 is 2133434313.

3134343312 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 343 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3134343313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935913 + ... + 939255.

Almost surely, 23134343312 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 3134343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657416192).

3134343312 is an abundant number, since it is smaller than the sum of its proper divisors (6180489072).

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

3134343312 is a wasteful number, since it uses less digits than its factorization.

3134343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3748 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3134343312 is about 55985.2061887781. The cubic root of 3134343312 is about 1463.4644865726.

Adding to 3134343312 its reverse (2133434313), we get a palindrome (5267777625).

The spelling of 3134343312 in words is "three billion, one hundred thirty-four million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 383 408 612 766 816 1149 1224 1532 2298 2448 3064 3343 3447 4596 6128 6511 6686 6894 9192 10029 13022 13372 13788 18384 19533 20058 26044 26744 27576 30087 39066 40116 52088 53488 55152 56831 58599 60174 78132 80232 104176 113662 117198 120348 156264 160464 170493 227324 234396 240696 312528 340986 454648 468792 481392 511479 681972 909296 937584 1022958 1280369 1363944 2045916 2560738 2727888 3841107 4091832 5121476 7682214 8183664 10242952 11523321 15364428 20485904 21766273 23046642 30728856 43532546 46093284 61457712 65298819 87065092 92186568 130597638 174130184 184373136 195896457 261195276 348260368 391792914 522390552 783585828 1044781104 1567171656 3134343312