Search a number
-
+
378058020 = 223531439463
BaseRepresentation
bin10110100010001…
…011010100100100
3222100101100002220
4112202023110210
51233240324040
6101303032340
712240303654
oct2642132444
9870340086
10378058020
1118444964a
12a673b6b0
136042b292
14382d2364
15232cc2d0
hex1688b524

378058020 has 96 divisors (see below), whose sum is σ = 1097564160. Its totient is φ = 97130880.

The previous prime is 378057997. The next prime is 378058033. The reversal of 378058020 is 20850873.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816309 + ... + 816771.

It is an arithmetic number, because the mean of its divisors is an integer number (11432960).

Almost surely, 2378058020 is an apocalyptic number.

378058020 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 378058020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548782080).

378058020 is an abundant number, since it is smaller than the sum of its proper divisors (719506140).

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

378058020 is a wasteful number, since it uses less digits than its factorization.

378058020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 378058020 is about 19443.7141513652. The cubic root of 378058020 is about 723.0796711309.

The spelling of 378058020 in words is "three hundred seventy-eight million, fifty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 439 463 465 620 878 926 930 1317 1389 1756 1852 1860 2195 2315 2634 2778 4390 4630 5268 5556 6585 6945 8780 9260 13170 13609 13890 14353 26340 27218 27780 28706 40827 43059 54436 57412 68045 71765 81654 86118 136090 143530 163308 172236 203257 204135 215295 272180 287060 406514 408270 430590 609771 813028 816540 861180 1016285 1219542 2032570 2439084 3048855 4065140 6097710 6300967 12195420 12601934 18902901 25203868 31504835 37805802 63009670 75611604 94514505 126019340 189029010 378058020