Search a number
-
+
385429540 = 22519271477
BaseRepresentation
bin10110111110010…
…011000000100100
3222212020211221011
4112332103000210
51242132221130
6102125032004
712360045166
oct2676230044
9885224834
10385429540
11188623a11
12a90b5604
1361b0c622
1439290936
1523c8652a
hex16f93024

385429540 has 12 divisors (see below), whose sum is σ = 809402076. Its totient is φ = 154171808.

The previous prime is 385429529. The next prime is 385429549. The reversal of 385429540 is 45924583.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 182196004 = 14256^2 + 13498^2 .

It is a super-2 number, since 2×3854295402 = 297111860609223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 385429493 and 385429502.

It is not an unprimeable number, because it can be changed into a prime (385429549) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9635719 + ... + 9635758.

It is an arithmetic number, because the mean of its divisors is an integer number (67450173).

Almost surely, 2385429540 is an apocalyptic number.

It is an amenable number.

385429540 is an abundant number, since it is smaller than the sum of its proper divisors (423972536).

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

385429540 is a wasteful number, since it uses less digits than its factorization.

385429540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19271486 (or 19271484 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 385429540 is about 19632.3595117856. The cubic root of 385429540 is about 727.7490807963.

The spelling of 385429540 in words is "three hundred eighty-five million, four hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 19271477 38542954 77085908 96357385 192714770 385429540