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332666424 = 2332291071489
BaseRepresentation
bin10011110101000…
…001011000111000
3212011222012112200
4103311001120320
51140130311144
653002110200
711146421646
oct2365013070
9764865480
10332666424
11160866232
12934ab360
1353bc764c
1432278196
151e312c69
hex13d41638

332666424 has 96 divisors (see below), whose sum is σ = 941382000. Its totient is φ = 105993216.

The previous prime is 332666377. The next prime is 332666431. The reversal of 332666424 is 424666233.

It is a super-2 number, since 2×3326664242 = 221333899313895552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 222672 + ... + 224160.

Almost surely, 2332666424 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 332666424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470691000).

332666424 is an abundant number, since it is smaller than the sum of its proper divisors (608715576).

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

332666424 is a wasteful number, since it uses less digits than its factorization.

332666424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1630 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 332666424 is about 18239.1453747153. The cubic root of 332666424 is about 692.8985565172.

The spelling of 332666424 in words is "three hundred thirty-two million, six hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 107 116 174 214 232 261 321 348 428 522 642 696 856 963 1044 1284 1489 1926 2088 2568 2978 3103 3852 4467 5956 6206 7704 8934 9309 11912 12412 13401 17868 18618 24824 26802 27927 35736 37236 43181 53604 55854 74472 86362 107208 111708 129543 159323 172724 223416 259086 318646 345448 388629 477969 518172 637292 777258 955938 1036344 1274584 1433907 1554516 1911876 2867814 3109032 3823752 4620367 5735628 9240734 11471256 13861101 18481468 27722202 36962936 41583303 55444404 83166606 110888808 166333212 332666424