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385704 = 233211487
BaseRepresentation
bin1011110001010101000
3201121002100
41132022220
544320304
612133400
73164334
oct1361250
9647070
10385704
11243870
12167260
13106737
14a07c4
1579439
hex5e2a8

385704 has 48 divisors (see below), whose sum is σ = 1141920. Its totient is φ = 116640.

The previous prime is 385663. The next prime is 385709. The reversal of 385704 is 407583.

It is not an unprimeable number, because it can be changed into a prime (385709) by changing a digit.

385704 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (23790).

2385704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570960).

385704 is an abundant number, since it is smaller than the sum of its proper divisors (756216).

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

385704 is a wasteful number, since it uses less digits than its factorization.

385704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 385704 is about 621.0507225662. The cubic root of 385704 is about 72.7921780430.

It can be divided in two parts, 385 and 704, that added together give a square (1089 = 332).

The spelling of 385704 in words is "three hundred eighty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 487 792 974 1461 1948 2922 3896 4383 5357 5844 8766 10714 11688 16071 17532 21428 32142 35064 42856 48213 64284 96426 128568 192852 385704