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1460045034 = 233717593851
BaseRepresentation
bin101011100000110…
…1000010011101010
310202202022222021000
41113001220103222
510442232420114
6400513455430
751116115030
oct12701502352
93682288230
101460045034
1168a180498
12348b71576
131a3643096
14dbca2550
15882a5e09
hex570684ea

1460045034 has 128 divisors (see below), whose sum is σ = 3993753600. Its totient is φ = 385862400.

The previous prime is 1460045033. The next prime is 1460045047. The reversal of 1460045034 is 4305400641.

1460045034 is a `hidden beast` number, since 1 + 4 + 600 + 4 + 50 + 3 + 4 = 666.

It is a super-2 number, since 2×14600450342 = 4263463002616122312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1460044989 and 1460045007.

It is not an unprimeable number, because it can be changed into a prime (1460045033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377209 + ... + 381059.

It is an arithmetic number, because the mean of its divisors is an integer number (31201200).

Almost surely, 21460045034 is an apocalyptic number.

1460045034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1460045034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996876800).

1460045034 is an abundant number, since it is smaller than the sum of its proper divisors (2533708566).

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

1460045034 is a wasteful number, since it uses less digits than its factorization.

1460045034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1460045034 is about 38210.5356413647. The cubic root of 1460045034 is about 1134.4588580040.

Adding to 1460045034 its reverse (4305400641), we get a palindrome (5765445675).

The spelling of 1460045034 in words is "one billion, four hundred sixty million, forty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 59 63 102 118 119 126 153 177 189 238 306 354 357 378 413 459 531 714 826 918 1003 1062 1071 1239 1593 2006 2142 2478 3009 3186 3213 3717 3851 6018 6426 7021 7434 7702 9027 11151 11553 14042 18054 21063 22302 23106 26957 27081 34659 42126 53914 54162 63189 65467 69318 80871 103977 126378 130934 161742 189567 196401 207954 227209 242613 379134 392802 454418 458269 485226 589203 681627 727839 916538 1178406 1363254 1374807 1455678 1590463 1767609 2044881 2749614 3180926 3535218 3862553 4089762 4124421 4771389 6134643 7725106 8248842 9542778 11587659 12269286 12373263 14314167 23175318 24746526 27037871 28628334 34762977 42942501 54075742 69525954 81113613 85885002 104288931 162227226 208577862 243340839 486681678 730022517 1460045034