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378160300 = 225275310193
BaseRepresentation
bin10110100010100…
…100010010101100
3222100120112102001
4112202210102230
51233302112200
6101305142044
712241211110
oct2642442254
9870515361
10378160300
11184509481
12a678a924
13604659bb
143831b740
15232ec76a
hex168a44ac

378160300 has 72 divisors (see below), whose sum is σ = 955626336. Its totient is φ = 127196160.

The previous prime is 378160283. The next prime is 378160301. The reversal of 378160300 is 3061873.

378160300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (378160301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32004 + ... + 42196.

It is an arithmetic number, because the mean of its divisors is an integer number (13272588).

Almost surely, 2378160300 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 378160300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477813168).

378160300 is an abundant number, since it is smaller than the sum of its proper divisors (577466036).

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

378160300 is a wasteful number, since it uses less digits than its factorization.

378160300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10267 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 378160300 is about 19446.3441294244. The cubic root of 378160300 is about 723.1448726930.

The spelling of 378160300 in words is "three hundred seventy-eight million, one hundred sixty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1855 2650 3710 5300 7420 9275 10193 18550 20386 37100 40772 50965 71351 101930 142702 203860 254825 285404 356755 509650 540229 713510 1019300 1080458 1427020 1783775 2160916 2701145 3567550 3781603 5402290 7135100 7563206 10804580 13505725 15126412 18908015 27011450 37816030 54022900 75632060 94540075 189080150 378160300