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378555840 = 263251310111
BaseRepresentation
bin10110100100000…
…100110111000000
3222101022121222200
4112210010313000
51233402241330
6101321433200
712244446225
oct2644046700
9871277880
10378555840
11184759673
12a693b800
1360573a50
14383c194c
1523379a60
hex16904dc0

378555840 has 168 divisors, whose sum is σ = 1402372608. Its totient is φ = 93173760.

The previous prime is 378555817. The next prime is 378555841. The reversal of 378555840 is 48555873.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378555841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32385 + ... + 42495.

It is an arithmetic number, because the mean of its divisors is an integer number (8347456).

Almost surely, 2378555840 is an apocalyptic number.

378555840 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 378555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701186304).

378555840 is an abundant number, since it is smaller than the sum of its proper divisors (1023816768).

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

378555840 is a wasteful number, since it uses less digits than its factorization.

378555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10147 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 378555840 is about 19456.5115064340. The cubic root of 378555840 is about 723.3969113608.

The spelling of 378555840 in words is "three hundred seventy-eight million, five hundred fifty-five thousand, eight hundred forty".