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1005001434 = 232113494101
BaseRepresentation
bin111011111001110…
…001101011011010
32121001002100210100
4323321301223122
54024240021214
6243420400230
733622241223
oct7371615332
92531070710
101005001434
1147632a4a8
122406a6076
1313029b808
149769024a
155d36d309
hex3be71ada

1005001434 has 24 divisors (see below), whose sum is σ = 2196777492. Its totient is φ = 332035200.

The previous prime is 1005001429. The next prime is 1005001441. The reversal of 1005001434 is 4341005001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 900900225 + 104101209 = 30015^2 + 10203^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245017 + ... + 249084.

Almost surely, 21005001434 is an apocalyptic number.

1005001434 is an abundant number, since it is smaller than the sum of its proper divisors (1191776058).

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

1005001434 is a wasteful number, since it uses less digits than its factorization.

1005001434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494222 (or 494219 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1005001434 is about 31701.7575853453. The cubic root of 1005001434 is about 1001.6643729924.

Adding to 1005001434 its reverse (4341005001), we get a palindrome (5346006435).

The spelling of 1005001434 in words is "one billion, five million, one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 494101 988202 1482303 2964606 4446909 8893818 55833413 111666826 167500239 335000478 502500717 1005001434