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328449024 = 21032157227
BaseRepresentation
bin10011100100111…
…011110000000000
3211220000221100200
4103210323300000
51133040332044
652331445200
711065525221
oct2344736000
9756027320
10328449024
11159445682
1291bb6800
135307bb47
143189b248
151dc7d369
hex1393bc00

328449024 has 132 divisors (see below), whose sum is σ = 958634664. Its totient is φ = 108306432.

The previous prime is 328449013. The next prime is 328449031. The reversal of 328449024 is 420944823.

It is a super-2 number, since 2×3284490242 = 215757522733105152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 328449024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446799 + ... + 1447025.

Almost surely, 2328449024 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 328449024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479317332).

328449024 is an abundant number, since it is smaller than the sum of its proper divisors (630185640).

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

328449024 is a wasteful number, since it uses less digits than its factorization.

328449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 328449024 is about 18123.1626379062. The cubic root of 328449024 is about 689.9580062660.

The spelling of 328449024 in words is "three hundred twenty-eight million, four hundred forty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 227 256 288 314 384 454 471 512 576 628 681 768 908 942 1024 1152 1256 1362 1413 1536 1816 1884 2043 2304 2512 2724 2826 3072 3632 3768 4086 4608 5024 5448 5652 7264 7536 8172 9216 10048 10896 11304 14528 15072 16344 20096 21792 22608 29056 30144 32688 35639 40192 43584 45216 58112 60288 65376 71278 80384 87168 90432 106917 116224 120576 130752 142556 160768 174336 180864 213834 232448 241152 261504 285112 320751 348672 361728 427668 482304 523008 570224 641502 697344 723456 855336 1046016 1140448 1283004 1446912 1710672 2092032 2280896 2566008 3421344 4561792 5132016 6842688 9123584 10264032 13685376 18247168 20528064 27370752 36494336 41056128 54741504 82112256 109483008 164224512 328449024