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385723540 = 225171134481
BaseRepresentation
bin10110111111011…
…010110010010100
3222212210210020001
4112333122302110
51242221123130
6102135221044
712362411266
oct2677326224
9885723201
10385723540
11188804894
12a9217784
1361bb33a7
1439329b36
1523ce36ca
hex16fdac94

385723540 has 24 divisors (see below), whose sum is σ = 857668392. Its totient is φ = 145213440.

The previous prime is 385723477. The next prime is 385723543. The reversal of 385723540 is 45327583.

It can be written as a sum of positive squares in 4 ways, for example, as 216619524 + 169104016 = 14718^2 + 13004^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 385723540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385723543) 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, 566901 + ... + 567580.

It is an arithmetic number, because the mean of its divisors is an integer number (35736183).

Almost surely, 2385723540 is an apocalyptic number.

It is an amenable number.

385723540 is an abundant number, since it is smaller than the sum of its proper divisors (471944852).

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

385723540 is a wasteful number, since it uses less digits than its factorization.

385723540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134507 (or 1134505 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 385723540 is about 19639.8457224083. The cubic root of 385723540 is about 727.9340725429.

The spelling of 385723540 in words is "three hundred eighty-five million, seven hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1134481 2268962 4537924 5672405 11344810 19286177 22689620 38572354 77144708 96430885 192861770 385723540