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1348303464 = 233253353329
BaseRepresentation
bin101000001011101…
…0111101001101000
310110222001220122100
41100113113221220
510230131202324
6341442453400
745261250614
oct12027275150
93428056570
101348303464
1163209a392
12317664260
1318644b101
14cb0d6344
157d5824c9
hex505d7a68

1348303464 has 48 divisors (see below), whose sum is σ = 3720564900. Its totient is φ = 440953344.

The previous prime is 1348303433. The next prime is 1348303471. The reversal of 1348303464 is 4643038431.

It is a happy number.

1348303464 is a `hidden beast` number, since 1 + 348 + 303 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1320740964 + 27562500 = 36342^2 + 5250^2 .

It is a super-3 number, since 3×13483034643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172849 + ... + 180480.

Almost surely, 21348303464 is an apocalyptic number.

It is an amenable number.

1348303464 is an abundant number, since it is smaller than the sum of its proper divisors (2372261436).

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

1348303464 is a wasteful number, since it uses less digits than its factorization.

1348303464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353394 (or 353387 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 1348303464 is about 36719.2519531648. The cubic root of 1348303464 is about 1104.7462857372.

The spelling of 1348303464 in words is "one billion, three hundred forty-eight million, three hundred three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 353329 706658 1059987 1413316 2119974 2826632 3179961 4239948 6359922 8479896 12719844 18726437 25439688 37452874 56179311 74905748 112358622 149811496 168537933 224717244 337075866 449434488 674151732 1348303464