| Base | Representation |
|---|---|
| bin | 10110100101101… |
| … | …100010111000000 |
| 3 | 222102010011112000 |
| 4 | 112211230113000 |
| 5 | 1234004323101 |
| 6 | 101334504000 |
| 7 | 12251163210 |
| oct | 2645542700 |
| 9 | 872104460 |
| 10 | 378979776 |
| 11 | 184a1912a |
| 12 | a6b05000 |
| 13 | 606919b6 |
| 14 | 38492240 |
| 15 | 23410486 |
| hex | 1696c5c0 |
378979776 has 448 divisors, whose sum is σ = 1433779200. Its totient is φ = 95551488.
The previous prime is 378979771. The next prime is 378979787. The reversal of 378979776 is 677979873.
It is a tau number, because it is divible by the number of its divisors (448).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (378979771) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 3906960 + ... + 3907056.
It is an arithmetic number, because the mean of its divisors is an integer number (3200400).
Almost surely, 2378979776 is an apocalyptic number.
378979776 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 378979776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716889600).
378979776 is an abundant number, since it is smaller than the sum of its proper divisors (1054799424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378979776 is a wasteful number, since it uses less digits than its factorization.
378979776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 161 (or 145 counting only the distinct ones).
The product of its digits is 28005264, while the sum is 63.
The square root of 378979776 is about 19467.4029084519. The cubic root of 378979776 is about 723.6668491549. Note that the first 3 decimals are identical.
It can be divided in two parts, 3789797 and 76, that added together give a palindrome (3789873).
The spelling of 378979776 in words is "three hundred seventy-eight million, nine hundred seventy-nine thousand, seven hundred seventy-six".
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