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352830240 = 253257172971
BaseRepresentation
bin10101000001111…
…100001100100000
3220120220122002200
4111001330030200
51210311031430
655002213200
711513002410
oct2501741440
9816818080
10352830240
11171188644
129a1b4200
13581374b9
1434c06640
1520e97460
hex1507c320

352830240 has 576 divisors, whose sum is σ = 1528450560. Its totient is φ = 72253440.

The previous prime is 352830229. The next prime is 352830259. The reversal of 352830240 is 42038253.

352830240 is a `hidden beast` number, since 352 + 8 + 302 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4969405 + ... + 4969475.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2352830240 is an apocalyptic number.

352830240 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 352830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

352830240 is an abundant number, since it is smaller than the sum of its proper divisors (1175620320).

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

352830240 is a wasteful number, since it uses less digits than its factorization.

352830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 352830240 is about 18783.7759782212. The cubic root of 352830240 is about 706.6243517244.

Adding to 352830240 its reverse (42038253), we get a palindrome (394868493).

The spelling of 352830240 in words is "three hundred fifty-two million, eight hundred thirty thousand, two hundred forty".