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396161106 = 231141281521
BaseRepresentation
bin10111100111001…
…111000001010010
31000121110001212120
4113213033001102
51302404123411
6103151035110
712550212435
oct2747170122
91017401776
10396161106
11193693780
12b080ba96
13640c9173
143a88581c
1524ba6106
hex179cf052

396161106 has 64 divisors (see below), whose sum is σ = 890289792. Its totient is φ = 116480000.

The previous prime is 396161099. The next prime is 396161111. The reversal of 396161106 is 601161693.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760126 + ... + 760646.

It is an arithmetic number, because the mean of its divisors is an integer number (13910778).

Almost surely, 2396161106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396161106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445144896).

396161106 is an abundant number, since it is smaller than the sum of its proper divisors (494128686).

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

396161106 is a wasteful number, since it uses less digits than its factorization.

396161106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 396161106 is about 19903.7962710635. The cubic root of 396161106 is about 734.4416176440.

The spelling of 396161106 in words is "three hundred ninety-six million, one hundred sixty-one thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 281 451 521 562 843 902 1042 1353 1563 1686 2706 3091 3126 5731 6182 9273 11462 11521 17193 18546 21361 23042 34386 34563 42722 64083 69126 126731 128166 146401 234971 253462 292802 380193 439203 469942 704913 760386 878406 1409826 1610411 3220822 4831233 6002441 9662466 12004882 18007323 36014646 66026851 132053702 198080553 396161106