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385840260 = 223551331197
BaseRepresentation
bin10110111111110…
…111010010000100
3222220000201100000
4112333313102010
51242233342020
6102141521300
712363405501
oct2677672204
9886021300
10385840260
11188884553
12a9273230
1361c24560
143935a4a8
1523d18090
hex16ff7484

385840260 has 288 divisors, whose sum is σ = 1356106752. Its totient is φ = 91445760.

The previous prime is 385840253. The next prime is 385840309. The reversal of 385840260 is 62048583.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1958482 + ... + 1958678.

It is an arithmetic number, because the mean of its divisors is an integer number (4708704).

Almost surely, 2385840260 is an apocalyptic number.

385840260 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385840260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678053376).

385840260 is an abundant number, since it is smaller than the sum of its proper divisors (970266492).

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

385840260 is a wasteful number, since it uses less digits than its factorization.

385840260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 385840260 is about 19642.8170077512. The cubic root of 385840260 is about 728.0074894572.

The spelling of 385840260 in words is "three hundred eighty-five million, eight hundred forty thousand, two hundred sixty".