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1634727042 = 2331329591361
BaseRepresentation
bin110000101101111…
…1111010010000010
311012221000201221000
41201123333102002
511321442231132
6430113512430
755336644024
oct14133772202
94187021830
101634727042
11769840693
12397572716
132008a4510
14117174014
15987ad87c
hex616ff482

1634727042 has 128 divisors (see below), whose sum is σ = 4118688000. Its totient is φ = 477066240.

The previous prime is 1634727019. The next prime is 1634727049. The reversal of 1634727042 is 2407274361.

1634727042 is a `hidden beast` number, since 1 + 6 + 347 + 270 + 42 = 666.

1634727042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1634726988 and 1634727006.

It is not an unprimeable number, because it can be changed into a prime (1634727049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1200442 + ... + 1201802.

It is an arithmetic number, because the mean of its divisors is an integer number (32177250).

Almost surely, 21634727042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1634727042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059344000).

1634727042 is an abundant number, since it is smaller than the sum of its proper divisors (2483960958).

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

1634727042 is a wasteful number, since it uses less digits than its factorization.

1634727042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 1634727042 is about 40431.7578395993. The cubic root of 1634727042 is about 1178.0084768929.

The spelling of 1634727042 in words is "one billion, six hundred thirty-four million, seven hundred twenty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 59 78 87 117 118 174 177 234 261 351 354 377 522 531 702 754 767 783 1062 1131 1361 1534 1566 1593 1711 2262 2301 2722 3186 3393 3422 4083 4602 5133 6786 6903 8166 10179 10266 12249 13806 15399 17693 20358 20709 22243 24498 30798 35386 36747 39469 41418 44486 46197 53079 66729 73494 78938 80299 92394 106158 118407 133458 159237 160598 200187 236814 240897 318474 355221 400374 477711 481794 513097 600561 710442 722691 955422 1026194 1043887 1065663 1201122 1445382 1539291 2087774 2131326 2168073 2328671 3078582 3131661 4336146 4617873 4657342 6263322 6986013 9235746 9394983 13853619 13972026 18789966 20958039 27707238 28184949 30272723 41916078 56369898 60545446 62874117 90818169 125748234 181636338 272454507 544909014 817363521 1634727042