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1016521434 = 233312812161
BaseRepresentation
bin111100100101101…
…110001011011010
32121211202122021000
4330211232023122
54040212141214
6244511325430
734122201225
oct7445561332
92554678230
101016521434
11481888665
12244520876
131327a3196
149900c5bc
155e396809
hex3c96e2da

1016521434 has 64 divisors (see below), whose sum is σ = 2341186560. Its totient is φ = 326592000.

The previous prime is 1016521433. The next prime is 1016521453. The reversal of 1016521434 is 4341256101.

It is a happy number.

1016521434 is a `hidden beast` number, since 1 + 0 + 1 + 652 + 1 + 4 + 3 + 4 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1016521398 and 1016521407.

It is not an unprimeable number, because it can be changed into a prime (1016521433) 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 31 ways as a sum of consecutive naturals, for example, 469314 + ... + 471474.

It is an arithmetic number, because the mean of its divisors is an integer number (36581040).

Almost surely, 21016521434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016521434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170593280).

1016521434 is an abundant number, since it is smaller than the sum of its proper divisors (1324665126).

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

1016521434 is a wasteful number, since it uses less digits than its factorization.

1016521434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1016521434 is about 31882.9332715796. The cubic root of 1016521434 is about 1005.4770913686.

Adding to 1016521434 its reverse (4341256101), we get a palindrome (5357777535).

The spelling of 1016521434 in words is "one billion, sixteen million, five hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 281 558 562 837 843 1674 1686 2161 2529 4322 5058 6483 7587 8711 12966 15174 17422 19449 26133 38898 52266 58347 66991 78399 116694 133982 156798 200973 235197 401946 470394 602919 607241 1205838 1214482 1808757 1821723 3617514 3643446 5465169 10930338 16395507 18824471 32791014 37648942 56473413 112946826 169420239 338840478 508260717 1016521434