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1010341314 = 232173789237
BaseRepresentation
bin111100001110001…
…001010111000010
32121102010122201200
4330032021113002
54032121410224
6244131042030
734015521333
oct7416112702
92542118650
101010341314
11479347424
12242440316
1313141b1c8
149828028a
155da755c9
hex3c3895c2

1010341314 has 48 divisors (see below), whose sum is σ = 2380512888. Its totient is φ = 308399616.

The previous prime is 1010341313. The next prime is 1010341327. The reversal of 1010341314 is 4131430101.

1010341314 is a `hidden beast` number, since 1 + 0 + 10 + 341 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1009142289 + 1199025 = 31767^2 + 1095^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1010341313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33297 + ... + 55940.

Almost surely, 21010341314 is an apocalyptic number.

1010341314 is an abundant number, since it is smaller than the sum of its proper divisors (1370171574).

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

1010341314 is a wasteful number, since it uses less digits than its factorization.

1010341314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89299 (or 89296 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1010341314 is about 31785.8665762002. The cubic root of 1010341314 is about 1003.4352899362.

Adding to 1010341314 its reverse (4131430101), we get a palindrome (5141771415).

The spelling of 1010341314 in words is "one billion, ten million, three hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 89237 178474 267711 535422 803133 1517029 1606266 3034058 3301769 4551087 6603538 9102174 9905307 13653261 19810614 27306522 29715921 56130073 59431842 112260146 168390219 336780438 505170657 1010341314