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328445775 = 325272313
BaseRepresentation
bin10011100100111…
…010111101001111
3211220000202220100
4103210322331033
51133040231100
652331422143
711065512600
oct2344727517
9756022810
10328445775
11159443199
1291bb4953
135307a518
1431899da7
151dc7c400
hex1393af4f

328445775 has 108 divisors (see below), whose sum is σ = 707139264. Its totient is φ = 145303200.

The previous prime is 328445771. The next prime is 328445779. The reversal of 328445775 is 577544823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

328445775 is a `hidden beast` number, since 32 + 8 + 44 + 577 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (328445771) and next prime (328445779).

It is not a de Polignac number, because 328445775 - 22 = 328445771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 328445775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328445771) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10595010 + ... + 10595040.

Almost surely, 2328445775 is an apocalyptic number.

328445775 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

328445775 is an abundant number, since it is smaller than the sum of its proper divisors (378693489).

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

328445775 is an equidigital number, since it uses as much as digits as its factorization.

328445775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 46 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 328445775 is about 18123.0730010117. The cubic root of 328445775 is about 689.9557312494.

The spelling of 328445775 in words is "three hundred twenty-eight million, four hundred forty-five thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 49 63 75 93 105 147 155 175 217 225 245 279 315 441 465 525 651 735 775 961 1085 1225 1395 1519 1575 1953 2205 2325 2883 3255 3675 4557 4805 5425 6727 6975 7595 8649 9765 11025 13671 14415 16275 20181 22785 24025 29791 33635 37975 43245 47089 48825 60543 68355 72075 89373 100905 113925 141267 148955 168175 208537 216225 235445 268119 302715 341775 423801 446865 504525 625611 706335 744775 1042685 1177225 1340595 1459759 1513575 1876833 2119005 2234325 3128055 3531675 4379277 5213425 6702975 7298795 9384165 10595025 13137831 15640275 21896385 36493975 46920825 65689155 109481925 328445775