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378776384 = 2674717989
BaseRepresentation
bin10110100100111…
…010101101000000
3222101201211111222
4112210322231000
51233431321014
6101330254212
712246355220
oct2644725500
9871654458
10378776384
1118489a338
12a6a27368
136062024c
143843c080
15233c008e
hex1693ab40

378776384 has 56 divisors (see below), whose sum is σ = 877336320. Its totient is φ = 158870016.

The previous prime is 378776353. The next prime is 378776399. The reversal of 378776384 is 483677873.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3787763842 = 286943098152230912, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12062 + ... + 30050.

It is an arithmetic number, because the mean of its divisors is an integer number (15666720).

Almost surely, 2378776384 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 378776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438668160).

378776384 is an abundant number, since it is smaller than the sum of its proper divisors (498559936).

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

378776384 is a wasteful number, since it uses less digits than its factorization.

378776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18055 (or 18045 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 53.

The square root of 378776384 is about 19462.1782953502. The cubic root of 378776384 is about 723.5373660918.

The spelling of 378776384 in words is "three hundred seventy-eight million, seven hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 10528 17989 21056 35978 71956 125923 143912 251846 287824 503692 575648 845483 1007384 1151296 1690966 2014768 3381932 4029536 5918381 6763864 8059072 11836762 13527728 23673524 27055456 47347048 54110912 94694096 189388192 378776384