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332066430 = 232526314029
BaseRepresentation
bin10011110010101…
…110111001111110
3212010211201111200
4103302232321332
51140002111210
652541200330
711141342463
oct2362567176
9763751450
10332066430
11160496473
12932600a6
1353a47517
143215d66a
151e2450c0
hex13caee7e

332066430 has 48 divisors (see below), whose sum is σ = 866717280. Its totient is φ = 88208064.

The previous prime is 332066417. The next prime is 332066447. The reversal of 332066430 is 34660233.

It is a super-2 number, since 2×3320664302 = 220536227865889800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332066394 and 332066403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16656 + ... + 30684.

It is an arithmetic number, because the mean of its divisors is an integer number (18056610).

Almost surely, 2332066430 is an apocalyptic number.

332066430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332066430 is an abundant number, since it is smaller than the sum of its proper divisors (534650850).

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

332066430 is a wasteful number, since it uses less digits than its factorization.

332066430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14305 (or 14302 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 332066430 is about 18222.6899770588. The cubic root of 332066430 is about 692.4817374098.

The spelling of 332066430 in words is "three hundred thirty-two million, sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 263 526 789 1315 1578 2367 2630 3945 4734 7890 11835 14029 23670 28058 42087 70145 84174 126261 140290 210435 252522 420870 631305 1262610 3689627 7379254 11068881 18448135 22137762 33206643 36896270 55344405 66413286 110688810 166033215 332066430