Search a number
-
+
330040324432 = 24713225796761
BaseRepresentation
bin1001100110101111110…
…11111011000101010000
31011112220002002121211201
410303113323323011100
520401410310340212
6411341325320544
732562464320210
oct4632773730520
91145802077751
10330040324432
11117a73182705
1253b69a06154
1325179672100
1411d8ca86240
1588b9b00b57
hex4cd7efb150

330040324432 has 120 divisors (see below), whose sum is σ = 791767448640. Its totient is φ = 130495472640.

The previous prime is 330040324421. The next prime is 330040324459. The reversal of 330040324432 is 234423040033.

It is a super-2 number, since 2×3300403244322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 330040324432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48811932 + ... + 48818692.

It is an arithmetic number, because the mean of its divisors is an integer number (6598062072).

Almost surely, 2330040324432 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 330040324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395883724320).

330040324432 is an abundant number, since it is smaller than the sum of its proper divisors (461727124208).

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

330040324432 is a wasteful number, since it uses less digits than its factorization.

330040324432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 330040324432 its reverse (234423040033), we get a palindrome (564463364465).

The spelling of 330040324432 in words is "three hundred thirty billion, forty million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2579 2704 4732 5158 6761 9464 10316 13522 18053 18928 20632 27044 33527 36106 41264 47327 54088 67054 72212 87893 94654 108176 134108 144424 175786 189308 234689 268216 288848 351572 378616 435851 469378 536432 615251 703144 757232 871702 938756 1142609 1230502 1406288 1743404 1877512 2285218 2461004 3050957 3486808 3755024 4570436 4922008 6101914 6973616 7998263 9140872 9844016 12203828 15996526 17436619 18281744 24407656 31993052 34873238 48815312 63986104 69746476 122056333 127972208 139492952 226676047 244112666 278985904 453352094 488225332 906704188 976450664 1586732329 1813408376 1952901328 2946788611 3173464658 3626816752 5893577222 6346929316 11787154444 12693858632 20627520277 23574308888 25387717264 41255040554 47148617776 82510081108 165020162216 330040324432