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328040448 = 21534771
BaseRepresentation
bin10011100011011…
…000000000000000
3211212021011220020
4103203120000000
51132434243243
652315013440
711062204101
oct2343300000
9755234806
10328040448
1115919670a
1291a3a280
1352c67b98
14317d23a8
151dbec283
hex138d8000

328040448 has 128 divisors (see below), whose sum is σ = 905955840. Its totient is φ = 105512960.

The previous prime is 328040441. The next prime is 328040459. The reversal of 328040448 is 844040823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3280404482 = 215221071048081408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328040441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4620253 + ... + 4620323.

It is an arithmetic number, because the mean of its divisors is an integer number (7077780).

Almost surely, 2328040448 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 328040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452977920).

328040448 is an abundant number, since it is smaller than the sum of its proper divisors (577915392).

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

328040448 is an frugal number, since it uses more digits than its factorization.

328040448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 328040448 is about 18111.8869254421. The cubic root of 328040448 is about 689.6717951819.

The spelling of 328040448 in words is "three hundred twenty-eight million, forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 71 94 96 128 141 142 188 192 213 256 282 284 376 384 426 512 564 568 752 768 852 1024 1128 1136 1504 1536 1704 2048 2256 2272 3008 3072 3337 3408 4096 4512 4544 6016 6144 6674 6816 8192 9024 9088 10011 12032 12288 13348 13632 16384 18048 18176 20022 24064 24576 26696 27264 32768 36096 36352 40044 48128 49152 53392 54528 72192 72704 80088 96256 98304 106784 109056 144384 145408 160176 192512 213568 218112 288768 290816 320352 385024 427136 436224 577536 581632 640704 770048 854272 872448 1155072 1163264 1281408 1540096 1708544 1744896 2310144 2326528 2562816 3417088 3489792 4620288 5125632 6834176 6979584 10251264 13668352 20502528 27336704 41005056 54673408 82010112 109346816 164020224 328040448