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378395136 = 2932711731
BaseRepresentation
bin10110100011011…
…101101000000000
3222101000110112200
4112203131220000
51233332121021
6101314153200
712243206550
oct2643355000
9871013480
10378395136
11184659959
12a6882800
1360518862
143837d160
1523347126
hex168dda00

378395136 has 120 divisors (see below), whose sum is σ = 1248190944. Its totient is φ = 108103680.

The previous prime is 378395119. The next prime is 378395177. The reversal of 378395136 is 631593873.

It is a junction number, because it is equal to n+sod(n) for n = 378395091 and 378395100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26391 + ... + 38121.

Almost surely, 2378395136 is an apocalyptic number.

378395136 is a gapful number since it is divisible by the number (36) 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 378395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624095472).

378395136 is an abundant number, since it is smaller than the sum of its proper divisors (869795808).

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

378395136 is a wasteful number, since it uses less digits than its factorization.

378395136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11762 (or 11743 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 378395136 is about 19452.3812424083. The cubic root of 378395136 is about 723.2945317210.

The spelling of 378395136 in words is "three hundred seventy-eight million, three hundred ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 11731 16128 23462 32256 35193 46924 70386 82117 93848 105579 140772 164234 187696 211158 246351 281544 328468 375392 422316 492702 563088 656936 739053 750784 844632 985404 1126176 1313872 1478106 1501568 1689264 1970808 2252352 2627744 2956212 3003136 3378528 3941616 4504704 5255488 5912424 6006272 6757056 7883232 9009408 10510976 11824848 13514112 15766464 18018816 21021952 23649696 27028224 31532928 42043904 47299392 54056448 63065856 94598784 126131712 189197568 378395136