Search a number
-
+
381712460 = 22541974799
BaseRepresentation
bin10110110000000…
…111100001001100
3222121021000001112
4112300013201030
51240204244320
6101513231152
712313334213
oct2660074114
9877230045
10381712460
11186515248
12a7a024b8
136110a77c
14389a407a
152379eec5
hex16c0784c

381712460 has 48 divisors (see below), whose sum is σ = 829785600. Its totient is φ = 147394560.

The previous prime is 381712459. The next prime is 381712493. The reversal of 381712460 is 64217183.

381712460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77141 + ... + 81939.

It is an arithmetic number, because the mean of its divisors is an integer number (17287200).

Almost surely, 2381712460 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 381712460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414892800).

381712460 is an abundant number, since it is smaller than the sum of its proper divisors (448073140).

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

381712460 is a wasteful number, since it uses less digits than its factorization.

381712460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 381712460 is about 19537.4629878088. The cubic root of 381712460 is about 725.4020504847.

The spelling of 381712460 in words is "three hundred eighty-one million, seven hundred twelve thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 97 164 194 205 388 410 485 820 970 1940 3977 4799 7954 9598 15908 19196 19885 23995 39770 47990 79540 95980 196759 393518 465503 787036 931006 983795 1862012 1967590 2327515 3935180 4655030 9310060 19085623 38171246 76342492 95428115 190856230 381712460