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385970832 = 24341331739
BaseRepresentation
bin10111000000010…
…111001010010000
3222220021100110000
4113000113022100
51242302031312
6102144410000
712364461252
oct2700271220
9886240400
10385970832
11188963665
12a9316900
1361c6bb10
1439391cd2
1523d41adc
hex17017290

385970832 has 200 divisors, whose sum is σ = 1243531520. Its totient is φ = 114773760.

The previous prime is 385970821. The next prime is 385970869. The reversal of 385970832 is 238079583.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 521919 + ... + 522657.

Almost surely, 2385970832 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 385970832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621765760).

385970832 is an abundant number, since it is smaller than the sum of its proper divisors (857560688).

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

385970832 is a wasteful number, since it uses less digits than its factorization.

385970832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 385970832 is about 19646.1403843096. The cubic root of 385970832 is about 728.0896017396.

It can be divided in two parts, 3859 and 70832, that added together give a triangular number (74691 = T386).

The spelling of 385970832 in words is "three hundred eighty-five million, nine hundred seventy thousand, eight hundred thirty-two".