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1314460206 = 2322943157373
BaseRepresentation
bin100111001011001…
…0001001000101110
310101121101111102100
41032112101020232
510143000211311
6334233235530
744400504333
oct11626211056
93347344370
101314460206
11614a84454
12308262ba6
1317c42ba07
14c680698a
157a5e9a56
hex4e59122e

1314460206 has 96 divisors (see below), whose sum is σ = 3042056160. Its totient is φ = 409473792.

The previous prime is 1314460153. The next prime is 1314460207. The reversal of 1314460206 is 6020644131.

1314460206 is a `hidden beast` number, since 13 + 1 + 44 + 602 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1314460206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314460207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3523836 + ... + 3524208.

It is an arithmetic number, because the mean of its divisors is an integer number (31688085).

Almost surely, 21314460206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314460206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521028080).

1314460206 is an abundant number, since it is smaller than the sum of its proper divisors (1727595954).

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

1314460206 is a wasteful number, since it uses less digits than its factorization.

1314460206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1314460206 is about 36255.4851850034. The cubic root of 1314460206 is about 1095.4245779552.

The spelling of 1314460206 in words is "one billion, three hundred fourteen million, four hundred sixty thousand, two hundred six".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 157 174 258 261 314 373 387 471 522 746 774 942 1119 1247 1413 2238 2494 2826 3357 3741 4553 6714 6751 7482 9106 10817 11223 13502 13659 16039 20253 21634 22446 27318 32078 32451 40506 40977 48117 58561 60759 64902 81954 96234 97353 117122 121518 144351 175683 194706 195779 288702 351366 391558 465131 527049 587337 930262 1054098 1174674 1395393 1698269 1762011 2518123 2790786 3396538 3524022 4186179 5036246 5094807 7554369 8372358 10189614 15108738 15284421 22663107 30568842 45326214 73025567 146051134 219076701 438153402 657230103 1314460206