| Base | Representation |
|---|---|
| bin | 10110100010001… |
| … | …011111011000000 |
| 3 | 222100101110111000 |
| 4 | 112202023323000 |
| 5 | 1233240413410 |
| 6 | 101303052000 |
| 7 | 12240314100 |
| oct | 2642137300 |
| 9 | 870343430 |
| 10 | 378060480 |
| 11 | 184450486 |
| 12 | a6741000 |
| 13 | 6042c435 |
| 14 | 382d3200 |
| 15 | 232ccdc0 |
| hex | 1688bec0 |
378060480 has 672 divisors, whose sum is σ = 1667865600. Its totient is φ = 80123904.
The previous prime is 378060479. The next prime is 378060481. The reversal of 378060480 is 84060873.
It is an interprime number because it is at equal distance from previous prime (378060479) and next prime (378060481).
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (378060481) 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 95 ways as a sum of consecutive naturals, for example, 8043817 + ... + 8043863.
Almost surely, 2378060480 is an apocalyptic number.
378060480 is a gapful number since it is divisible by the number (30) 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 378060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833932800).
378060480 is an abundant number, since it is smaller than the sum of its proper divisors (1289805120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378060480 is a wasteful number, since it uses less digits than its factorization.
378060480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 378060480 is about 19443.7774107811. Note that the first 3 decimals coincide. The cubic root of 378060480 is about 723.0812394723.
It can be divided in two parts, 3780 and 60480, that multiplied together give a square (228614400 = 151202).
The spelling of 378060480 in words is "three hundred seventy-eight million, sixty thousand, four hundred eighty".
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