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663032424 = 233611034397
BaseRepresentation
bin100111100001010…
…001001001101000
31201012121112111110
4213201101021220
52324214014144
6145443030320
722300453065
oct4741211150
91635545443
10663032424
113102a008a
1216606b3a0
13a7497ba2
14640b3c6c
153d31e0b9
hex27851268

663032424 has 64 divisors (see below), whose sum is σ = 1701498240. Its totient is φ = 215228160.

The previous prime is 663032413. The next prime is 663032429. The reversal of 663032424 is 424230366.

It is a happy number.

It is a super-2 number, since 2×6630324242 = 879223990550631552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 663032391 and 663032400.

It is not an unprimeable number, because it can be changed into a prime (663032429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148594 + ... + 152990.

It is an arithmetic number, because the mean of its divisors is an integer number (26585910).

Almost surely, 2663032424 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 663032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850749120).

663032424 is an abundant number, since it is smaller than the sum of its proper divisors (1038465816).

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

663032424 is a wasteful number, since it uses less digits than its factorization.

663032424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 663032424 is about 25749.4159933774. The cubic root of 663032424 is about 871.9901697683.

The spelling of 663032424 in words is "six hundred sixty-three million, thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 103 122 183 206 244 309 366 412 488 618 732 824 1236 1464 2472 4397 6283 8794 12566 13191 17588 18849 25132 26382 35176 37698 50264 52764 75396 105528 150792 268217 452891 536434 804651 905782 1072868 1358673 1609302 1811564 2145736 2717346 3218604 3623128 5434692 6437208 10869384 27626351 55252702 82879053 110505404 165758106 221010808 331516212 663032424