Search a number
-
+
332690688 = 28321113127
BaseRepresentation
bin10011110101000…
…111010100000000
3212012000102211100
4103311013110000
51140132100223
653002414400
711146552461
oct2365072400
9765012740
10332690688
11160882490
1293501400
1353c056c5
1432282d68
151e31a043
hex13d47500

332690688 has 108 divisors (see below), whose sum is σ = 1046511648. Its totient is φ = 100807680.

The previous prime is 332690671. The next prime is 332690689. The reversal of 332690688 is 886096233.

It is a super-2 number, since 2×3326906882 = 221366187763826688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332690689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18781 + ... + 31907.

Almost surely, 2332690688 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 332690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523255824).

332690688 is an abundant number, since it is smaller than the sum of its proper divisors (713820960).

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

332690688 is a wasteful number, since it uses less digits than its factorization.

332690688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13160 (or 13143 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 332690688 is about 18239.8105253317. The cubic root of 332690688 is about 692.9154023029.

The spelling of 332690688 in words is "three hundred thirty-two million, six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 13127 25344 26254 39381 52508 78762 105016 118143 144397 157524 210032 236286 288794 315048 420064 433191 472572 577588 630096 840128 866382 945144 1155176 1260192 1299573 1680256 1732764 1890288 2310352 2520384 2599146 3360512 3465528 3780576 4620704 5040768 5198292 6931056 7561152 9241408 10081536 10396584 13862112 15122304 18482816 20793168 27724224 30244608 36965632 41586336 55448448 83172672 110896896 166345344 332690688