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378480168 = 233311159293
BaseRepresentation
bin10110100011110…
…010011000101000
3222101011210012000
4112203302120220
51233342331133
6101320051000
712244012503
oct2643623050
9871153160
10378480168
11184707830
12a6903a60
1360548481
14383a213a
1523362413
hex168f2628

378480168 has 64 divisors (see below), whose sum is σ = 1146916800. Its totient is φ = 114690240.

The previous prime is 378480097. The next prime is 378480191. The reversal of 378480168 is 861084873.

378480168 is a `hidden beast` number, since 3 + 7 + 8 + 480 + 168 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77271 + ... + 82022.

It is an arithmetic number, because the mean of its divisors is an integer number (17920575).

Almost surely, 2378480168 is an apocalyptic number.

It is an amenable number.

378480168 is an abundant number, since it is smaller than the sum of its proper divisors (768436632).

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

378480168 is a wasteful number, since it uses less digits than its factorization.

378480168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159319 (or 159309 counting only the distinct ones).

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

The square root of 378480168 is about 19454.5667646442. The cubic root of 378480168 is about 723.3487066371.

The spelling of 378480168 in words is "three hundred seventy-eight million, four hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 159293 318586 477879 637172 955758 1274344 1433637 1752223 1911516 2867274 3504446 3823032 4300911 5256669 5734548 7008892 8601822 10513338 11469096 14017784 15770007 17203644 21026676 31540014 34407288 42053352 47310021 63080028 94620042 126160056 189240084 378480168