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1460345348 = 2271123211977
BaseRepresentation
bin101011100001011…
…0001101000000100
310202202220020012202
41113002301220010
510442322022343
6400524134032
751121505420
oct12702615004
93682806182
101460345348
1168a366090
12349097318
131a3719997
14dbd3db80
1588314db8
hex570b1a04

1460345348 has 96 divisors (see below), whose sum is σ = 3343915008. Its totient is φ = 541094400.

The previous prime is 1460345347. The next prime is 1460345351. The reversal of 1460345348 is 8435430641.

It is a happy number.

It is a super-2 number, since 2×14603453482 = 4265217070850482208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1460345347) 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, 1494236 + ... + 1495212.

It is an arithmetic number, because the mean of its divisors is an integer number (34832448).

Almost surely, 21460345348 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 1460345348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671957504).

1460345348 is an abundant number, since it is smaller than the sum of its proper divisors (1883569660).

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

1460345348 is a wasteful number, since it uses less digits than its factorization.

1460345348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 1460345348 is about 38214.4651670019. The cubic root of 1460345348 is about 1134.5366342628.

Adding to 1460345348 its reverse (8435430641), we get a palindrome (9895775989).

The spelling of 1460345348 in words is "one billion, four hundred sixty million, three hundred forty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 211 253 308 322 422 506 644 844 977 1012 1477 1771 1954 2321 2954 3542 3908 4642 4853 5908 6839 7084 9284 9706 10747 13678 16247 19412 21494 22471 27356 32494 33971 42988 44942 53383 64988 67942 75229 89884 106766 135884 150458 157297 206147 213532 247181 300916 314594 373681 412294 494362 629188 747362 824588 988724 1443029 1494724 1730267 2267617 2886058 3460534 4535234 4741381 5772116 6921068 9070468 9482762 15873319 18965524 31746638 33189667 52155191 63493276 66379334 104310382 132758668 208620764 365086337 730172674 1460345348