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1406710314 = 234232231693
BaseRepresentation
bin101001111011000…
…1011001000101010
310122000222021210000
41103312023020222
510340104212224
6351330403430
746600561152
oct12366131052
93560867700
101406710314
11662062309
12333130576
1319558ab89
14d4b7b762
158376d0c9
hex53d8b22a

1406710314 has 80 divisors (see below), whose sum is σ = 3305820672. Its totient is φ = 446241312.

The previous prime is 1406710313. The next prime is 1406710321. The reversal of 1406710314 is 4130176041.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1406710313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 830052 + ... + 831744.

Almost surely, 21406710314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406710314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652910336).

1406710314 is an abundant number, since it is smaller than the sum of its proper divisors (1899110358).

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

1406710314 is a wasteful number, since it uses less digits than its factorization.

1406710314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1406710314 is about 37506.1370178268. The cubic root of 1406710314 is about 1120.4734164647.

Adding to 1406710314 its reverse (4130176041), we get a palindrome (5536886355).

The spelling of 1406710314 in words is "one billion, four hundred six million, seven hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 223 414 446 621 669 1242 1338 1693 1863 2007 3386 3726 4014 5079 5129 6021 10158 10258 12042 15237 15387 18063 30474 30774 36126 38939 45711 46161 77878 91422 92322 116817 137133 138483 233634 274266 276966 350451 377539 415449 700902 755078 830898 1051353 1132617 2102706 2265234 3154059 3397851 6308118 6795702 8683397 10193553 17366794 20387106 26050191 30580659 52100382 61161318 78150573 156301146 234451719 468903438 703355157 1406710314