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385329141 = 32715231153
BaseRepresentation
bin10110111101111…
…010011111110101
3222212001202012200
4112331322133311
51242121013031
6102122535113
712356146401
oct2675723765
9885052180
10385329141
1118856553a
12a9067499
1361aa5a12
1439266101
1523c668e6
hex16f7a7f5

385329141 has 24 divisors (see below), whose sum is σ = 565995456. Its totient is φ = 252564480.

The previous prime is 385329107. The next prime is 385329167. The reversal of 385329141 is 141923583.

385329141 is a `hidden beast` number, since 38 + 532 + 91 + 4 + 1 = 666.

It is not a de Polignac number, because 385329141 - 27 = 385329013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 385329096 and 385329105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385329041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333621 + ... + 334773.

It is an arithmetic number, because the mean of its divisors is an integer number (23583144).

Almost surely, 2385329141 is an apocalyptic number.

It is an amenable number.

385329141 is a deficient number, since it is larger than the sum of its proper divisors (180666315).

385329141 is a wasteful number, since it uses less digits than its factorization.

385329141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1750 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 385329141 is about 19629.8023678284. The cubic root of 385329141 is about 727.6858858259.

The spelling of 385329141 in words is "three hundred eighty-five million, three hundred twenty-nine thousand, one hundred forty-one".

Divisors: 1 3 9 71 213 523 639 1153 1569 3459 4707 10377 37133 81863 111399 245589 334197 603019 736767 1809057 5427171 42814349 128443047 385329141