Search a number
-
+
4230711276 = 223113377159
BaseRepresentation
bin1111110000101011…
…1000011111101100
3101220211211101211020
43330022320133230
532131030230101
61535450454140
7206561311131
oct37412703754
911824741736
104230711276
111881143000
129a0a34350
1352566c66c
142c1c4c588
1519b649136
hexfc2b87ec

4230711276 has 96 divisors (see below), whose sum is σ = 11153103360. Its totient is φ = 1247209920.

The previous prime is 4230711271. The next prime is 4230711281. The reversal of 4230711276 is 6721170324.

It is an interprime number because it is at equal distance from previous prime (4230711271) and next prime (4230711281).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4230711271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587385 + ... + 594543.

It is an arithmetic number, because the mean of its divisors is an integer number (116178160).

Almost surely, 24230711276 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 4230711276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576551680).

4230711276 is an abundant number, since it is smaller than the sum of its proper divisors (6922392084).

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

4230711276 is a wasteful number, since it uses less digits than its factorization.

4230711276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4230711276 is about 65043.9180554185. The cubic root of 4230711276 is about 1617.3516750950.

The spelling of 4230711276 in words is "four billion, two hundred thirty million, seven hundred eleven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 121 132 148 222 242 363 407 444 484 726 814 1221 1331 1452 1628 2442 2662 3993 4477 4884 5324 7159 7986 8954 13431 14318 15972 17908 21477 26862 28636 42954 49247 53724 78749 85908 98494 147741 157498 196988 236247 264883 295482 314996 472494 529766 590964 794649 866239 944988 1059532 1589298 1732478 2598717 2913713 3178596 3464956 5197434 5827426 8741139 9528629 10394868 11654852 17482278 19057258 28585887 32050843 34964556 38114516 57171774 64101686 96152529 114343548 128203372 192305058 352559273 384610116 705118546 1057677819 1410237092 2115355638 4230711276