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930240 = 263251719
BaseRepresentation
bin11100011000111000000
31202021001100
43203013000
5214231430
631534400
710623033
oct3430700
91667040
10930240
115859a3
1238a400
1326754c
141a301a
15135960
hexe31c0

930240 has 168 divisors, whose sum is σ = 3566160. Its totient is φ = 221184.

The previous prime is 930229. The next prime is 930269. The reversal of 930240 is 42039.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

930240 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 23 ways as a sum of consecutive naturals, for example, 48951 + ... + 48969.

2930240 is an apocalyptic number.

930240 is a gapful number since it is divisible by the number (90) 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 930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783080).

930240 is an abundant number, since it is smaller than the sum of its proper divisors (2635920).

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

930240 is a wasteful number, since it uses less digits than its factorization.

930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 930240 is about 964.4895022757. The cubic root of 930240 is about 97.6183966039.

Adding to 930240 its reverse (42039), we get a palindrome (972279).

The spelling of 930240 in words is "nine hundred thirty thousand, two hundred forty".