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1968348474 = 232353309781
BaseRepresentation
bin111010101010010…
…1001110100111010
312002011210110111100
41311110221310322
513012344122344
6523152312230
766530454201
oct16524516472
95064713440
101968348474
11920099384
1246b242676
13254a44751
141495ba238
15b7c0e569
hex75529d3a

1968348474 has 24 divisors (see below), whose sum is σ = 4276850292. Its totient is φ = 654255360.

The previous prime is 1968348463. The next prime is 1968348479. The reversal of 1968348474 is 4748438691.

1968348474 is a `hidden beast` number, since 1 + 96 + 8 + 3 + 484 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1953021249 + 15327225 = 44193^2 + 3915^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1968348474.

It is not an unprimeable number, because it can be changed into a prime (1968348479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148537 + ... + 161244.

Almost surely, 21968348474 is an apocalyptic number.

1968348474 is an abundant number, since it is smaller than the sum of its proper divisors (2308501818).

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

1968348474 is a wasteful number, since it uses less digits than its factorization.

1968348474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310142 (or 310139 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1968348474 is about 44366.0734570911. The cubic root of 1968348474 is about 1253.2392728912.

The spelling of 1968348474 in words is "one billion, nine hundred sixty-eight million, three hundred forty-eight thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 353 706 1059 2118 3177 6354 309781 619562 929343 1858686 2788029 5576058 109352693 218705386 328058079 656116158 984174237 1968348474