Search a number
-
+
378743640 = 233511286927
BaseRepresentation
bin10110100100110…
…010101101011000
3222101200011121020
4112210302231120
51233424244030
6101325442440
712246160602
oct2644625530
9871604536
10378743640
11184877780
12a6a10420
136060b382
1438430172
15233b5510
hex16932b58

378743640 has 64 divisors (see below), whose sum is σ = 1239528960. Its totient is φ = 91816320.

The previous prime is 378743627. The next prime is 378743653. The reversal of 378743640 is 46347873.

378743640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (378743627) and next prime (378743653).

It is a junction number, because it is equal to n+sod(n) for n = 378743592 and 378743601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142144 + ... + 144783.

It is an arithmetic number, because the mean of its divisors is an integer number (19367640).

Almost surely, 2378743640 is an apocalyptic number.

378743640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378743640 is an abundant number, since it is smaller than the sum of its proper divisors (860785320).

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

378743640 is a wasteful number, since it uses less digits than its factorization.

378743640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286952 (or 286948 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 378743640 is about 19461.3370558140. The cubic root of 378743640 is about 723.5165163317.

It can be divided in two parts, 37874 and 3640, that added together give a palindrome (41514).

The spelling of 378743640 in words is "three hundred seventy-eight million, seven hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 286927 573854 860781 1147708 1434635 1721562 2295416 2869270 3156197 3443124 4303905 5738540 6312394 6886248 8607810 9468591 11477080 12624788 15780985 17215620 18937182 25249576 31561970 34431240 37874364 47342955 63123940 75748728 94685910 126247880 189371820 378743640