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328535400 = 23352547559
BaseRepresentation
bin10011100101010…
…000110101101000
3211220012022211210
4103211100311220
51133101113100
652333353120
711066335104
oct2345206550
9756168753
10328535400
111594a4566
12920387a0
13530ac25b
14318c0904
151dc98c50
hex13950d68

328535400 has 48 divisors (see below), whose sum is σ = 1018461600. Its totient is φ = 87609280.

The previous prime is 328535377. The next prime is 328535443. The reversal of 328535400 is 4535823.

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

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 11 ways as a sum of consecutive naturals, for example, 273180 + ... + 274379.

It is an arithmetic number, because the mean of its divisors is an integer number (21217950).

Almost surely, 2328535400 is an apocalyptic number.

328535400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328535400 is an abundant number, since it is smaller than the sum of its proper divisors (689926200).

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

328535400 is a wasteful number, since it uses less digits than its factorization.

328535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547578 (or 547569 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 328535400 is about 18125.5455090323. The cubic root of 328535400 is about 690.0184830168.

The spelling of 328535400 in words is "three hundred twenty-eight million, five hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 547559 1095118 1642677 2190236 2737795 3285354 4380472 5475590 6570708 8213385 10951180 13141416 13688975 16426770 21902360 27377950 32853540 41066925 54755900 65707080 82133850 109511800 164267700 328535400