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387161136 = 243229831117
BaseRepresentation
bin10111000100111…
…001110000110000
3222222111211020100
4113010321300300
51243103124021
6102230112400
712410546445
oct2704716060
9888454210
10387161136
111895a698a
12a97ab700
136229783b
14395c19cc
1523ec9626
hex17139c30

387161136 has 120 divisors (see below), whose sum is σ = 1135396080. Its totient is φ = 122992128.

The previous prime is 387161123. The next prime is 387161141. The reversal of 387161136 is 631161783.

387161136 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 611 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 387161136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346050 + ... + 347166.

It is an arithmetic number, because the mean of its divisors is an integer number (9461634).

Almost surely, 2387161136 is an apocalyptic number.

387161136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387161136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567698040).

387161136 is an abundant number, since it is smaller than the sum of its proper divisors (748234944).

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

387161136 is a wasteful number, since it uses less digits than its factorization.

387161136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1234 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 387161136 is about 19676.4106482864. The cubic root of 387161136 is about 728.8372908784.

The spelling of 387161136 in words is "three hundred eighty-seven million, one hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 83 87 116 144 166 174 232 249 261 332 348 464 498 522 664 696 747 996 1044 1117 1328 1392 1494 1992 2088 2234 2407 2988 3351 3984 4176 4468 4814 5976 6702 7221 8936 9628 10053 11952 13404 14442 17872 19256 20106 21663 26808 28884 32393 38512 40212 43326 53616 57768 64786 80424 86652 92711 97179 115536 129572 160848 173304 185422 194358 259144 278133 291537 346608 370844 388716 518288 556266 583074 741688 777432 834399 1112532 1166148 1483376 1554864 1668798 2225064 2332296 2688619 3337596 4450128 4664592 5377238 6675192 8065857 10754476 13350384 16131714 21508952 24197571 32263428 43017904 48395142 64526856 96790284 129053712 193580568 387161136