Search a number
-
+
378655160 = 235132692707
BaseRepresentation
bin10110100100011…
…101000110111000
3222101111200020012
4112210131012320
51233413431120
6101323521052
712245341622
oct2644350670
9871450205
10378655160
11184817254
12a6989188
13605aa010
1438409c12
15233991c5
hex1691d1b8

378655160 has 64 divisors (see below), whose sum is σ = 921261600. Its totient is φ = 139239936.

The previous prime is 378655153. The next prime is 378655163. The reversal of 378655160 is 61556873.

378655160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378655163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138527 + ... + 141233.

Almost surely, 2378655160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378655160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460630800).

378655160 is an abundant number, since it is smaller than the sum of its proper divisors (542606440).

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

378655160 is a wasteful number, since it uses less digits than its factorization.

378655160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 378655160 is about 19459.0636979275. The cubic root of 378655160 is about 723.4601706312.

The spelling of 378655160 in words is "three hundred seventy-eight million, six hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 269 520 538 1076 1345 2152 2690 2707 3497 5380 5414 6994 10760 10828 13535 13988 17485 21656 27070 27976 34970 35191 54140 69940 70382 108280 139880 140764 175955 281528 351910 703820 728183 1407640 1456366 2912732 3640915 5825464 7281830 9466379 14563660 18932758 29127320 37865516 47331895 75731032 94663790 189327580 378655160