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380433360 = 243510091571
BaseRepresentation
bin10110101011001…
…111001111010000
3222111212000110110
4112223033033100
51234342331420
6101430001320
712266426106
oct2653171720
9874760413
10380433360
1118582123a
12a74a6240
1360a804c8
143874dc76
15235eaee0
hex16acf3d0

380433360 has 80 divisors (see below), whose sum is σ = 1181263680. Its totient is φ = 101283840.

The previous prime is 380433343. The next prime is 380433373. The reversal of 380433360 is 63334083.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 241375 + ... + 242945.

It is an arithmetic number, because the mean of its divisors is an integer number (14765796).

Almost surely, 2380433360 is an apocalyptic number.

380433360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380433360 is an abundant number, since it is smaller than the sum of its proper divisors (800830320).

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

380433360 is a wasteful number, since it uses less digits than its factorization.

380433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 380433360 is about 19504.7009718170. The cubic root of 380433360 is about 724.5908813452.

The spelling of 380433360 in words is "three hundred eighty million, four hundred thirty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1009 1571 2018 3027 3142 4036 4713 5045 6054 6284 7855 8072 9426 10090 12108 12568 15135 15710 16144 18852 20180 23565 24216 25136 30270 31420 37704 40360 47130 48432 60540 62840 75408 80720 94260 121080 125680 188520 242160 377040 1585139 3170278 4755417 6340556 7925695 9510834 12681112 15851390 19021668 23777085 25362224 31702780 38043336 47554170 63405560 76086672 95108340 126811120 190216680 380433360