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380848176 = 24331675279
BaseRepresentation
bin10110101100110…
…100100000110000
3222112122002111000
4112230310200300
51234444120201
6101442522000
712303104352
oct2654644060
9875562430
10380848176
11185a84965
12a7666300
1360b97267
143881b0d2
152367dd86
hex16b34830

380848176 has 80 divisors (see below), whose sum is σ = 1099929600. Its totient is φ = 126165312.

The previous prime is 380848163. The next prime is 380848183. The reversal of 380848176 is 671848083.

It is a nialpdrome in base 12.

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, 69505 + ... + 74783.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2380848176 is an apocalyptic number.

380848176 is a gapful number since it is divisible by the number (36) 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 380848176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549964800).

380848176 is an abundant number, since it is smaller than the sum of its proper divisors (719081424).

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

380848176 is a wasteful number, since it uses less digits than its factorization.

380848176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 380848176 is about 19515.3318188546. The cubic root of 380848176 is about 724.8541448959.

It can be divided in two parts, 3808 and 48176, that added together give a square (51984 = 2282).

The spelling of 380848176 in words is "three hundred eighty million, eight hundred forty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 1002 1336 1503 2004 2672 3006 4008 4509 5279 6012 8016 9018 10558 12024 15837 18036 21116 24048 31674 36072 42232 47511 63348 72144 84464 95022 126696 142533 190044 253392 285066 380088 570132 760176 881593 1140264 1763186 2280528 2644779 3526372 5289558 7052744 7934337 10579116 14105488 15868674 21158232 23803011 31737348 42316464 47606022 63474696 95212044 126949392 190424088 380848176