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16428834 = 23217531013
BaseRepresentation
bin111110101010…
…111100100010
31010220200010100
4332222330202
513201210314
61344043230
7256433322
oct76527442
933820110
1016428834
119301254
125603516
133532b06
142279282
151697c09
hexfaaf22

16428834 has 48 divisors (see below), whose sum is σ = 38438712. Its totient is φ = 5051904.

The previous prime is 16428829. The next prime is 16428857. The reversal of 16428834 is 43882461.

16428834 is a `hidden beast` number, since 1 + 642 + 8 + 8 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12638025 + 3790809 = 3555^2 + 1947^2 .

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, 15712 + ... + 16724.

Almost surely, 216428834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16428834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219356).

16428834 is an abundant number, since it is smaller than the sum of its proper divisors (22009878).

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

16428834 is a wasteful number, since it uses less digits than its factorization.

16428834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1088 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 16428834 is about 4053.2498072534. The cubic root of 16428834 is about 254.2156289919.

The spelling of 16428834 in words is "sixteen million, four hundred twenty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 53 102 106 153 159 306 318 477 901 954 1013 1802 2026 2703 3039 5406 6078 8109 9117 16218 17221 18234 34442 51663 53689 103326 107378 154989 161067 309978 322134 483201 912713 966402 1825426 2738139 5476278 8214417 16428834