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380195712 = 27321353479
BaseRepresentation
bin10110101010010…
…101001110000000
3222111101221110200
4112222111032000
51234312230322
6101420525200
712264416211
oct2652251600
9874357420
10380195712
11185679736
12a73b0800
13609c92a0
14386cb408
15235a08ac
hex16a95380

380195712 has 192 divisors, whose sum is σ = 1202947200. Its totient is φ = 114536448.

The previous prime is 380195677. The next prime is 380195731. The reversal of 380195712 is 217591083.

380195712 is a `hidden beast` number, since 3 + 80 + 1 + 9 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

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, 793489 + ... + 793967.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2380195712 is an apocalyptic number.

380195712 is a gapful number since it is divisible by the number (32) 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 380195712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

380195712 is an abundant number, since it is smaller than the sum of its proper divisors (822751488).

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

380195712 is a wasteful number, since it uses less digits than its factorization.

380195712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 380195712 is about 19498.6079503128. The cubic root of 380195712 is about 724.4399714791.

The spelling of 380195712 in words is "three hundred eighty million, one hundred ninety-five thousand, seven hundred twelve".