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352383480 = 233351721129
BaseRepresentation
bin10101000000001…
…111000111111000
3220120001221021000
4111000033013320
51210202232410
654544445000
711506132041
oct2500170770
9816057230
10352383480
11170a02a19
129a019760
135800c047
1434b2b8c8
1520e09dc0
hex1500f1f8

352383480 has 192 divisors, whose sum is σ = 1248876000. Its totient is φ = 88363008.

The previous prime is 352383467. The next prime is 352383511. The reversal of 352383480 is 84383253.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311556 + ... + 312684.

Almost surely, 2352383480 is an apocalyptic number.

352383480 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 352383480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624438000).

352383480 is an abundant number, since it is smaller than the sum of its proper divisors (896492520).

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

352383480 is a wasteful number, since it uses less digits than its factorization.

352383480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 352383480 is about 18771.8800337100. The cubic root of 352383480 is about 706.3259789300.

The spelling of 352383480 in words is "three hundred fifty-two million, three hundred eighty-three thousand, four hundred eighty".