Search a number
-
+
378811320 = 233531791289
BaseRepresentation
bin10110100101000…
…011001110111000
3222101210121102220
4112211003032320
51233433430240
6101331124040
712246562116
oct2645031670
9871717386
10378811320
11184913608
12a6a43620
1360633114
143844aab6
15233ca5d0
hex169433b8

378811320 has 128 divisors (see below), whose sum is σ = 1188864000. Its totient is φ = 96445440.

The previous prime is 378811309. The next prime is 378811333. The reversal of 378811320 is 23118873.

It is a congruent number.

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, 293236 + ... + 294524.

It is an arithmetic number, because the mean of its divisors is an integer number (9288000).

Almost surely, 2378811320 is an apocalyptic number.

378811320 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 378811320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594432000).

378811320 is an abundant number, since it is smaller than the sum of its proper divisors (810052680).

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

378811320 is a wasteful number, since it uses less digits than its factorization.

378811320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 378811320 is about 19463.0758103646. The cubic root of 378811320 is about 723.5596102842.

The spelling of 378811320 in words is "three hundred seventy-eight million, eight hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 79 93 120 124 155 158 186 237 248 310 316 372 395 465 474 620 632 744 790 930 948 1185 1240 1289 1580 1860 1896 2370 2449 2578 3160 3720 3867 4740 4898 5156 6445 7347 7734 9480 9796 10312 12245 12890 14694 15468 19335 19592 24490 25780 29388 30936 36735 38670 39959 48980 51560 58776 73470 77340 79918 97960 101831 119877 146940 154680 159836 199795 203662 239754 293880 305493 319672 399590 407324 479508 509155 599385 610986 799180 814648 959016 1018310 1198770 1221972 1527465 1598360 2036620 2397540 2443944 3054930 3156761 4073240 4795080 6109860 6313522 9470283 12219720 12627044 15783805 18940566 25254088 31567610 37881132 47351415 63135220 75762264 94702830 126270440 189405660 378811320