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385961112 = 2334718389
BaseRepresentation
bin10111000000010…
…100110010011000
3222220020212010000
4113000110302120
51242301223422
6102144253000
712364421025
oct2700246230
9886225100
10385961112
11188957329
12a9311160
1361c67574
143938c54c
1523d3dcac
hex17014c98

385961112 has 80 divisors (see below), whose sum is σ = 1096405200. Its totient is φ = 126826560.

The previous prime is 385961099. The next prime is 385961113. The reversal of 385961112 is 211169583.

385961112 is a `hidden beast` number, since 38 + 5 + 9 + 611 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385961113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41814 + ... + 50202.

It is an arithmetic number, because the mean of its divisors is an integer number (13705065).

Almost surely, 2385961112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385961112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548202600).

385961112 is an abundant number, since it is smaller than the sum of its proper divisors (710444088).

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

385961112 is a wasteful number, since it uses less digits than its factorization.

385961112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8478 (or 8465 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 385961112 is about 19645.8930059186. The cubic root of 385961112 is about 728.0834898008.

The spelling of 385961112 in words is "three hundred eighty-five million, nine hundred sixty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7668 8389 11502 15336 16778 23004 25167 33556 46008 50334 67112 75501 100668 151002 201336 226503 302004 453006 595619 604008 679509 906012 1191238 1359018 1786857 1812024 2382476 2718036 3573714 4764952 5360571 5436072 7147428 10721142 14294856 16081713 21442284 32163426 42884568 48245139 64326852 96490278 128653704 192980556 385961112