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842142834 = 2321331711353
BaseRepresentation
bin110010001100100…
…001010001110010
32011200122021210100
4302030201101302
53211042032314
6215322013230
726604044631
oct6214412162
92150567710
10842142834
113a2405415
121b6047216
13105619b90
147dbb9518
154ddedc09
hex32321472

842142834 has 48 divisors (see below), whose sum is σ = 1971372312. Its totient is φ = 258280704.

The previous prime is 842142823. The next prime is 842142841. The reversal of 842142834 is 438241248.

It can be written as a sum of positive squares in 4 ways, for example, as 262537209 + 579605625 = 16203^2 + 24075^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68502 + ... + 79854.

Almost surely, 2842142834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842142834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985686156).

842142834 is an abundant number, since it is smaller than the sum of its proper divisors (1129229478).

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

842142834 is a wasteful number, since it uses less digits than its factorization.

842142834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11688 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 842142834 is about 29019.6973450793. The cubic root of 842142834 is about 944.3404350339.

The spelling of 842142834 in words is "eight hundred forty-two million, one hundred forty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 317 634 951 1902 2853 4121 5706 8242 11353 12363 22706 24726 34059 37089 68118 74178 102177 147589 204354 295178 442767 885534 1328301 2656602 3598901 7197802 10796703 21593406 32390109 46785713 64780218 93571426 140357139 280714278 421071417 842142834