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378089088 = 27313233789
BaseRepresentation
bin10110100010010…
…010111010000000
3222100102220201120
4112202102322000
51233242322323
6101303432240
712240463356
oct2642227200
9870386646
10378089088
1118446aa23
12a6755680
136043c470
14382dd7d6
15232d65e3
hex16892e80

378089088 has 256 divisors, whose sum is σ = 1172102400. Its totient is φ = 107053056.

The previous prime is 378089083. The next prime is 378089093. The reversal of 378089088 is 880980873.

It is an interprime number because it is at equal distance from previous prime (378089083) and next prime (378089093).

It is a self number, because there is not a number n which added to its sum of digits gives 378089088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378089083) 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 31 ways as a sum of consecutive naturals, for example, 4248148 + ... + 4248236.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2378089088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586051200).

378089088 is an abundant number, since it is smaller than the sum of its proper divisors (794013312).

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

378089088 is a wasteful number, since it uses less digits than its factorization.

378089088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 378089088 is about 19444.5130563869. The cubic root of 378089088 is about 723.0994776357.

The spelling of 378089088 in words is "three hundred seventy-eight million, eighty-nine thousand, eighty-eight".