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329798880 = 25325229027
BaseRepresentation
bin10011101010000…
…101010011100000
3211222120112000100
4103222011103200
51133412031010
652420422400
711113146525
oct2352052340
9758515010
10329798880
1115a187864
1292547a00
1353432388
1431b2d14c
151de482c0
hex13a854e0

329798880 has 72 divisors (see below), whose sum is σ = 1125443592. Its totient is φ = 87945984.

The previous prime is 329798869. The next prime is 329798891. The reversal of 329798880 is 88897923.

329798880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (329798869) and next prime (329798891).

It is a tau number, because it is divible by the number of its divisors (72).

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, 113074 + ... + 115953.

It is an arithmetic number, because the mean of its divisors is an integer number (15631161).

Almost surely, 2329798880 is an apocalyptic number.

329798880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

329798880 is an abundant number, since it is smaller than the sum of its proper divisors (795644712).

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

329798880 is a wasteful number, since it uses less digits than its factorization.

329798880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229048 (or 229037 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 329798880 is about 18160.3656350857. The cubic root of 329798880 is about 690.9019081768.

The spelling of 329798880 in words is "three hundred twenty-nine million, seven hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 229027 458054 687081 916108 1145135 1374162 1832216 2061243 2290270 2748324 3435405 3664432 4122486 4580540 5496648 6870810 7328864 8244972 9161080 10306215 10993296 13741620 16489944 18322160 20612430 21986592 27483240 32979888 36644320 41224860 54966480 65959776 82449720 109932960 164899440 329798880