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663003324 = 223231678867
BaseRepresentation
bin100111100001001…
…010000010111100
31201012120001120200
4213201022002330
52324212101244
6145442243500
722300302204
oct4741120274
91635501520
10663003324
11310280235
12166056590
13a7487879
14640a7404
153d315669
hex2784a0bc

663003324 has 72 divisors (see below), whose sum is σ = 1756005888. Its totient is φ = 210656160.

The previous prime is 663003311. The next prime is 663003343. The reversal of 663003324 is 423300366.

663003324 is a `hidden beast` number, since 6 + 630 + 0 + 3 + 3 + 24 = 666.

It is a super-3 number, since 3×6630033243 (a number of 27 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 70339 + ... + 79205.

Almost surely, 2663003324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663003324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878002944).

663003324 is an abundant number, since it is smaller than the sum of its proper divisors (1093002564).

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

663003324 is a wasteful number, since it uses less digits than its factorization.

663003324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8970 counting only the distinct ones).

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

The square root of 663003324 is about 25748.8509258180. The cubic root of 663003324 is about 871.9774125816.

The spelling of 663003324 in words is "six hundred sixty-three million, three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 186 201 268 279 372 402 558 603 804 1116 1206 2077 2412 4154 6231 8308 8867 12462 17734 18693 24924 26601 35468 37386 53202 74772 79803 106404 159606 274877 319212 549754 594089 824631 1099508 1188178 1649262 1782267 2376356 2473893 3298524 3564534 4947786 5346801 7129068 9895572 10693602 18416759 21387204 36833518 55250277 73667036 110500554 165750831 221001108 331501662 663003324