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328323552 = 25353173373
BaseRepresentation
bin10011100100011…
…101000111100000
3211212210120020120
4103210131013200
51133022323202
652325040240
711064463344
oct2344350740
9755716216
10328323552
1115936a387
1291b56080
13530369bb
1431867624
151dc560bc
hex1391d1e0

328323552 has 96 divisors (see below), whose sum is σ = 885554208. Its totient is φ = 106469376.

The previous prime is 328323547. The next prime is 328323577. The reversal of 328323552 is 255323823.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 880038 + ... + 880410.

It is an arithmetic number, because the mean of its divisors is an integer number (9224523).

Almost surely, 2328323552 is an apocalyptic number.

328323552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328323552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442777104).

328323552 is an abundant number, since it is smaller than the sum of its proper divisors (557230656).

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

328323552 is a wasteful number, since it uses less digits than its factorization.

328323552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 328323552 is about 18119.7006597791. The cubic root of 328323552 is about 689.8701372912.

The spelling of 328323552 in words is "three hundred twenty-eight million, three hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 173 212 318 346 373 424 519 636 692 746 848 1038 1119 1272 1384 1492 1696 2076 2238 2544 2768 2984 4152 4476 5088 5536 5968 8304 8952 9169 11936 16608 17904 18338 19769 27507 35808 36676 39538 55014 59307 64529 73352 79076 110028 118614 129058 146704 158152 193587 220056 237228 258116 293408 316304 387174 440112 474456 516232 632608 774348 880224 948912 1032464 1548696 1897824 2064928 3097392 3420037 6194784 6840074 10260111 13680148 20520222 27360296 41040444 54720592 82080888 109441184 164161776 328323552