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378518240 = 2552818419
BaseRepresentation
bin10110100011111…
…011101011100000
3222101020201102002
4112203323223200
51233400040430
6101320543132
712244231502
oct2643735340
9871221362
10378518240
111847333a1
12a6921aa8
136055c8b9
14383b1d72
152336d845
hex168fbae0

378518240 has 48 divisors (see below), whose sum is σ = 897538320. Its totient is φ = 150850560.

The previous prime is 378518227. The next prime is 378518299. The reversal of 378518240 is 42815873.

It is a junction number, because it is equal to n+sod(n) for n = 378518194 and 378518203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40751 + ... + 49169.

It is an arithmetic number, because the mean of its divisors is an integer number (18698715).

Almost surely, 2378518240 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 378518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448769160).

378518240 is an abundant number, since it is smaller than the sum of its proper divisors (519020080).

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

378518240 is a wasteful number, since it uses less digits than its factorization.

378518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 378518240 is about 19455.5452249481. The cubic root of 378518240 is about 723.3729601392.

The spelling of 378518240 in words is "three hundred seventy-eight million, five hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 562 1124 1405 2248 2810 4496 5620 8419 8992 11240 16838 22480 33676 42095 44960 67352 84190 134704 168380 269408 336760 673520 1347040 2365739 4731478 9462956 11828695 18925912 23657390 37851824 47314780 75703648 94629560 189259120 378518240