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352535430 = 235131098293
BaseRepresentation
bin10101000000110…
…100001110000110
3220120100122200210
4111000310032012
51210222113210
654552020250
711510334042
oct2500641606
9816318623
10352535430
11170aa70a5
129a091686
1358063260
1434b6b022
1520e39e20
hex15034386

352535430 has 64 divisors (see below), whose sum is σ = 919638720. Its totient is φ = 85971456.

The previous prime is 352535411. The next prime is 352535431. The reversal of 352535430 is 34535253.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352535431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38364 + ... + 46656.

It is an arithmetic number, because the mean of its divisors is an integer number (14369355).

Almost surely, 2352535430 is an apocalyptic number.

352535430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352535430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459819360).

352535430 is an abundant number, since it is smaller than the sum of its proper divisors (567103290).

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

352535430 is a wasteful number, since it uses less digits than its factorization.

352535430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425.

The product of its (nonzero) digits is 27000, while the sum is 30.

The square root of 352535430 is about 18775.9268745913. The cubic root of 352535430 is about 706.4274884272.

The spelling of 352535430 in words is "three hundred fifty-two million, five hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 1090 1417 1635 2834 3270 4251 7085 8293 8502 14170 16586 21255 24879 41465 42510 49758 82930 107809 124395 215618 248790 323427 539045 646854 903937 1078090 1617135 1807874 2711811 3234270 4519685 5423622 9039370 11751181 13559055 23502362 27118110 35253543 58755905 70507086 117511810 176267715 352535430