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385482240 = 2934511132
BaseRepresentation
bin10110111110011…
…111111000000000
3222212100112020000
4112332133320000
51242140412430
6102130120000
712360354633
oct2676377000
9885315200
10385482240
1118865a570
12a9120000
1361b2a600
14392a5c1a
1523c96e60
hex16f9fe00

385482240 has 600 divisors, whose sum is σ = 1630964808. Its totient is φ = 86261760.

The previous prime is 385482193. The next prime is 385482271. The reversal of 385482240 is 42284583.

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

It is a junction number, because it is equal to n+sod(n) for n = 385482195 and 385482204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29652474 + ... + 29652486.

Almost surely, 2385482240 is an apocalyptic number.

385482240 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 385482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815482404).

385482240 is an abundant number, since it is smaller than the sum of its proper divisors (1245482568).

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

385482240 is a wasteful number, since it uses less digits than its factorization.

385482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 385482240 is about 19633.7016377452. The cubic root of 385482240 is about 727.7822477998.

The spelling of 385482240 in words is "three hundred eighty-five million, four hundred eighty-two thousand, two hundred forty".