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378613980 = 223355313229
BaseRepresentation
bin10110100100010…
…011000011011100
3222101102120202000
4112210103003130
51233411121410
6101323002300
712245110563
oct2644230334
9871376660
10378613980
11184799318
12a6969390
1360594354
14383d8bda
152338bdc0
hex169130dc

378613980 has 96 divisors (see below), whose sum is σ = 1200225600. Its totient is φ = 99051264.

The previous prime is 378613979. The next prime is 378613997. The reversal of 378613980 is 89316873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22006 + ... + 35234.

It is an arithmetic number, because the mean of its divisors is an integer number (12502350).

Almost surely, 2378613980 is an apocalyptic number.

378613980 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 378613980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600112800).

378613980 is an abundant number, since it is smaller than the sum of its proper divisors (821611620).

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

378613980 is a wasteful number, since it uses less digits than its factorization.

378613980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13300 (or 13292 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 378613980 is about 19458.0055504155. The cubic root of 378613980 is about 723.4339434523.

It can be divided in two parts, 3786 and 13980, that added together give a triangular number (17766 = T188).

The spelling of 378613980 in words is "three hundred seventy-eight million, six hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 13229 14310 26458 28620 39687 52916 66145 79374 119061 132290 158748 198435 238122 264580 357183 396870 476244 595305 701137 714366 793740 1190610 1402274 1428732 1785915 2103411 2381220 2804548 3505685 3571830 4206822 6310233 7011370 7143660 8413644 10517055 12620466 14022740 18930699 21034110 25240932 31551165 37861398 42068220 63102330 75722796 94653495 126204660 189306990 378613980