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378878816 = 25233713913
BaseRepresentation
bin10110100101010…
…011101101100000
3222101221001000202
4112211103231200
51233443110231
6101332404332
712250262651
oct2645235540
9871831022
10378878816
1118495a298
12a6a766a8
1360657a64
1438467528
15233e05cb
hex16953b60

378878816 has 48 divisors (see below), whose sum is σ = 799442784. Its totient is φ = 176292864.

The previous prime is 378878809. The next prime is 378878849. The reversal of 378878816 is 618878873.

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, 20276 + ... + 34188.

It is an arithmetic number, because the mean of its divisors is an integer number (16655058).

Almost surely, 2378878816 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 378878816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399721392).

378878816 is an abundant number, since it is smaller than the sum of its proper divisors (420563968).

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

378878816 is a wasteful number, since it uses less digits than its factorization.

378878816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13975 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 56.

The square root of 378878816 is about 19464.8096831179. The cubic root of 378878816 is about 723.6025819666.

The spelling of 378878816 in words is "three hundred seventy-eight million, eight hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 184 296 368 592 736 851 1184 1702 3404 6808 13616 13913 27232 27826 55652 111304 222608 319999 445216 514781 639998 1029562 1279996 2059124 2559992 4118248 5119984 8236496 10239968 11839963 16472992 23679926 47359852 94719704 189439408 378878816