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325382880 = 25354714423
BaseRepresentation
bin10011011001001…
…111001011100000
3211200021011101210
4103121033023200
51131244223010
652142030120
711030465064
oct2331171340
9750234353
10325382880
11157740a79
1290b78340
1352547364
14312ddaa4
151d874b20
hex1364f2e0

325382880 has 96 divisors (see below), whose sum is σ = 1046836224. Its totient is φ = 84916736.

The previous prime is 325382867. The next prime is 325382891. The reversal of 325382880 is 88283523.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15349 + ... + 29771.

It is an arithmetic number, because the mean of its divisors is an integer number (10904544).

Almost surely, 2325382880 is an apocalyptic number.

325382880 is a gapful number since it is divisible by the number (30) 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 325382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523418112).

325382880 is an abundant number, since it is smaller than the sum of its proper divisors (721453344).

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

325382880 is a wasteful number, since it uses less digits than its factorization.

325382880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14488 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 325382880 is about 18038.3724321237. The cubic root of 325382880 is about 687.8043205900.

The spelling of 325382880 in words is "three hundred twenty-five million, three hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 14423 22560 28846 43269 57692 72115 86538 115384 144230 173076 216345 230768 288460 346152 432690 461536 576920 677881 692304 865380 1153840 1355762 1384608 1730760 2033643 2307680 2711524 3389405 3461520 4067286 5423048 6778810 6923040 8134572 10168215 10846096 13557620 16269144 20336430 21692192 27115240 32538288 40672860 54230480 65076576 81345720 108460960 162691440 325382880