Search a number
-
+
381432704 = 2737431873
BaseRepresentation
bin10110101111000…
…011001110000000
3222120201210022012
4112233003032000
51240121321304
6101503232052
712311060462
oct2657031600
9876653265
10381432704
11186344044
12a78a8628
1361040333
1438930132
152374716e
hex16bc3380

381432704 has 64 divisors (see below), whose sum is σ = 798998640. Its totient is φ = 181149696.

The previous prime is 381432697. The next prime is 381432719. The reversal of 381432704 is 407234183.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 202712 + ... + 204584.

Almost surely, 2381432704 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 381432704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399499320).

381432704 is an abundant number, since it is smaller than the sum of its proper divisors (417565936).

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

381432704 is a wasteful number, since it uses less digits than its factorization.

381432704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 381432704 is about 19530.3021994029. The cubic root of 381432704 is about 725.2247921253.

Adding to 381432704 its reverse (407234183), we get a palindrome (788666887).

The spelling of 381432704 in words is "three hundred eighty-one million, four hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 296 344 592 688 1184 1376 1591 1873 2368 2752 3182 3746 4736 5504 6364 7492 12728 14984 25456 29968 50912 59936 69301 80539 101824 119872 138602 161078 203648 239744 277204 322156 554408 644312 1108816 1288624 2217632 2577248 2979943 4435264 5154496 5959886 8870528 10308992 11919772 23839544 47679088 95358176 190716352 381432704