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380822880 = 25354611721
BaseRepresentation
bin10110101100101…
…110010101100000
3222112120210210010
4112230232111200
51234442313010
6101442204520
712302640534
oct2654562540
9875523703
10380822880
11185a67959
12a7653740
1360b888a9
1438811bc4
1523676620
hex16b2e560

380822880 has 96 divisors (see below), whose sum is σ = 1202892768. Its totient is φ = 101273600.

The previous prime is 380822863. The next prime is 380822881. The reversal of 380822880 is 88228083.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380822881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220420 + ... + 222140.

It is an arithmetic number, because the mean of its divisors is an integer number (12530133).

Almost surely, 2380822880 is an apocalyptic number.

380822880 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 380822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601446384).

380822880 is an abundant number, since it is smaller than the sum of its proper divisors (822069888).

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

380822880 is a wasteful number, since it uses less digits than its factorization.

380822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 380822880 is about 19514.6837022792. The cubic root of 380822880 is about 724.8380962291.

The spelling of 380822880 in words is "three hundred eighty million, eight hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 461 480 922 1383 1721 1844 2305 2766 3442 3688 4610 5163 5532 6884 6915 7376 8605 9220 10326 11064 13768 13830 14752 17210 18440 20652 22128 25815 27536 27660 34420 36880 41304 44256 51630 55072 55320 68840 73760 82608 103260 110640 137680 165216 206520 221280 275360 413040 793381 826080 1586762 2380143 3173524 3966905 4760286 6347048 7933810 9520572 11900715 12694096 15867620 19041144 23801430 25388192 31735240 38082288 47602860 63470480 76164576 95205720 126940960 190411440 380822880