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3484258512 = 2437611391223
BaseRepresentation
bin1100111110101101…
…1001000011010000
322222211020200010120
43033223121003100
524113432233022
61333423430240
7152225465040
oct31753310320
98884220116
103484258512
111528855a99
12812a55380
13436b17637
14250a61720
15155d4cd5c
hexcfad90d0

3484258512 has 160 divisors (see below), whose sum is σ = 10539325440. Its totient is φ = 971343360.

The previous prime is 3484258501. The next prime is 3484258517. The reversal of 3484258512 is 2158524843.

3484258512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484258517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848333 + ... + 2849555.

It is an arithmetic number, because the mean of its divisors is an integer number (65870784).

Almost surely, 23484258512 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 3484258512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269662720).

3484258512 is an abundant number, since it is smaller than the sum of its proper divisors (7055066928).

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

3484258512 is a wasteful number, since it uses less digits than its factorization.

3484258512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1435 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 3484258512 is about 59027.6080491155. The cubic root of 3484258512 is about 1516.0148540163.

The spelling of 3484258512 in words is "three billion, four hundred eighty-four million, two hundred fifty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 139 168 183 244 278 336 366 417 427 488 556 732 834 854 973 976 1112 1223 1281 1464 1668 1708 1946 2224 2446 2562 2919 2928 3336 3416 3669 3892 4892 5124 5838 6672 6832 7338 7784 8479 8561 9784 10248 11676 14676 15568 16958 17122 19568 20496 23352 25437 25683 29352 33916 34244 46704 50874 51366 58704 59353 67832 68488 74603 101748 102732 118706 135664 136976 149206 169997 178059 203496 205464 223809 237412 298412 339994 356118 406992 410928 447618 474824 509991 522221 596824 679988 712236 895236 949648 1019982 1044442 1189979 1193648 1359976 1424472 1566663 1790472 2039964 2088884 2379958 2719952 2848944 3133326 3569937 3580944 4079928 4177768 4759916 6266652 7139874 8159856 8355536 9519832 10369817 12533304 14279748 19039664 20739634 25066608 28559496 31109451 41479268 57118992 62218902 72588719 82958536 124437804 145177438 165917072 217766157 248875608 290354876 435532314 497751216 580709752 871064628 1161419504 1742129256 3484258512