Search a number
-
+
381401320 = 23512775079
BaseRepresentation
bin10110101110111…
…011100011101000
3222120200012020211
4112232323203220
51240114320240
6101502430504
712310600126
oct2656734350
9876605224
10381401320
11186322503
12a7892434
136102bc71
1438922916
152373cbea
hex16bbb8e8

381401320 has 32 divisors (see below), whose sum is σ = 864921600. Its totient is φ = 151357248.

The previous prime is 381401309. The next prime is 381401327. The reversal of 381401320 is 23104183.

It is a junction number, because it is equal to n+sod(n) for n = 381401291 and 381401300.

It is not an unprimeable number, because it can be changed into a prime (381401327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32460 + ... + 42619.

It is an arithmetic number, because the mean of its divisors is an integer number (27028800).

Almost surely, 2381401320 is an apocalyptic number.

It is an amenable number.

381401320 is an abundant number, since it is smaller than the sum of its proper divisors (483520280).

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

381401320 is a wasteful number, since it uses less digits than its factorization.

381401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75217 (or 75213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 381401320 is about 19529.4987134847. The cubic root of 381401320 is about 725.2049012604.

The spelling of 381401320 in words is "three hundred eighty-one million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 75079 150158 300316 375395 600632 750790 1501580 3003160 9535033 19070066 38140132 47675165 76280264 95350330 190700660 381401320