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378768090 = 235113111731
BaseRepresentation
bin10110100100111…
…000101011011010
3222101201102010210
4112210320223122
51233431034330
6101330151550
712246322101
oct2644705332
9871642123
10378768090
11184894088
12a6a225b6
136061953c
1438439038
15233bc8b0
hex16938ada

378768090 has 32 divisors (see below), whose sum is σ = 917096256. Its totient is φ = 100110080.

The previous prime is 378768077. The next prime is 378768113. The reversal of 378768090 is 90867873.

378768090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52476 + ... + 59255.

It is an arithmetic number, because the mean of its divisors is an integer number (28659258).

Almost surely, 2378768090 is an apocalyptic number.

378768090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378768090 is an abundant number, since it is smaller than the sum of its proper divisors (538328166).

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

378768090 is a wasteful number, since it uses less digits than its factorization.

378768090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111854.

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 378768090 is about 19461.9652142326. The cubic root of 378768090 is about 723.5320849963.

The spelling of 378768090 in words is "three hundred seventy-eight million, seven hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 113 226 339 565 678 1130 1695 3390 111731 223462 335193 558655 670386 1117310 1675965 3351930 12625603 25251206 37876809 63128015 75753618 126256030 189384045 378768090