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3431455020 = 22325721112907
BaseRepresentation
bin1100110010000111…
…1101100100101100
322212010212222100200
43030201331210230
524011423030040
61324255553500
7151014613020
oct31441754454
98763788320
103431455020
111500a6aa44
127b922b890
13428bba176
14247a38380
151513bc630
hexcc87d92c

3431455020 has 144 divisors (see below), whose sum is σ = 11953014528. Its totient is φ = 780554880.

The previous prime is 3431454989. The next prime is 3431455039. The reversal of 3431455020 is 205541343.

3431455020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259407 + ... + 272313.

Almost surely, 23431455020 is an apocalyptic number.

3431455020 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 3431455020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976507264).

3431455020 is an abundant number, since it is smaller than the sum of its proper divisors (8521559508).

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

3431455020 is a wasteful number, since it uses less digits than its factorization.

3431455020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13140 (or 13135 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3431455020 is about 58578.6225512345. The cubic root of 3431455020 is about 1508.3175008733.

Adding to 3431455020 its reverse (205541343), we get a palindrome (3636996363).

The spelling of 3431455020 in words is "three billion, four hundred thirty-one million, four hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 211 252 315 420 422 630 633 844 1055 1260 1266 1477 1899 2110 2532 2954 3165 3798 4220 4431 5908 6330 7385 7596 8862 9495 12660 12907 13293 14770 17724 18990 22155 25814 26586 29540 37980 38721 44310 51628 53172 64535 66465 77442 88620 90349 116163 129070 132930 154884 180698 193605 232326 258140 265860 271047 361396 387210 451745 464652 542094 580815 774420 813141 903490 1084188 1161630 1355235 1626282 1806980 2323260 2710470 2723377 3252564 4065705 5420940 5446754 8131410 8170131 10893508 13616885 16262820 16340262 19063639 24510393 27233770 32680524 38127278 40850655 49020786 54467540 57190917 76254556 81701310 95318195 98041572 114381834 122551965 163402620 171572751 190636390 228763668 245103930 285954585 343145502 381272780 490207860 571909170 686291004 857863755 1143818340 1715727510 3431455020