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385463214 = 23273293351
BaseRepresentation
bin10110111110011…
…011001110101110
3222212022120010100
4112332123032232
51242134310324
6102125451530
712360245313
oct2676331656
9885276110
10385463214
11188647244
12a9110ba6
1361b21a56
143929cd0a
1523c914c9
hex16f9b3ae

385463214 has 24 divisors (see below), whose sum is σ = 846613872. Its totient is φ = 126727200.

The previous prime is 385463213. The next prime is 385463251. The reversal of 385463214 is 412364583.

385463214 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 632 + 14 = 666.

It is a super-3 number, since 3×3854632143 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385463213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145362 + ... + 147989.

It is an arithmetic number, because the mean of its divisors is an integer number (35275578).

Almost surely, 2385463214 is an apocalyptic number.

385463214 is an abundant number, since it is smaller than the sum of its proper divisors (461150658).

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

385463214 is a wasteful number, since it uses less digits than its factorization.

385463214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293432 (or 293429 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 385463214 is about 19633.2171077488. The cubic root of 385463214 is about 727.7702740420.

The spelling of 385463214 in words is "three hundred eighty-five million, four hundred sixty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 293351 586702 880053 1760106 2640159 5280318 21414623 42829246 64243869 128487738 192731607 385463214