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378094290 = 23572318297
BaseRepresentation
bin10110100010010…
…100001011010010
3222100110011212020
4112202110023102
51233243004130
6101303512310
712240514500
oct2642241322
9870404766
10378094290
11184473922
12a6758696
1360441942
1438301670
15232d7e10
hex168942d2

378094290 has 96 divisors (see below), whose sum is σ = 1089759744. Its totient is φ = 83623680.

The previous prime is 378094289. The next prime is 378094291. The reversal of 378094290 is 92490873.

378094290 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 (378094289) and next prime (378094291).

It is a super-3 number, since 3×3780942903 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (378094291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41422 + ... + 49718.

It is an arithmetic number, because the mean of its divisors is an integer number (11351664).

Almost surely, 2378094290 is an apocalyptic number.

378094290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378094290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544879872).

378094290 is an abundant number, since it is smaller than the sum of its proper divisors (711665454).

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

378094290 is a wasteful number, since it uses less digits than its factorization.

378094290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 8345 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 378094290 is about 19444.6468211691. The cubic root of 378094290 is about 723.1027939142.

The spelling of 378094290 in words is "three hundred seventy-eight million, ninety-four thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 186 210 217 245 294 310 434 465 490 651 735 930 1085 1302 1470 1519 2170 3038 3255 4557 6510 7595 8297 9114 15190 16594 22785 24891 41485 45570 49782 58079 82970 116158 124455 174237 248910 257207 290395 348474 406553 514414 580790 771621 813106 871185 1219659 1286035 1543242 1742370 1800449 2032765 2439318 2572070 3600898 3858105 4065530 5401347 6098295 7716210 9002245 10802694 12196590 12603143 18004490 25206286 27006735 37809429 54013470 63015715 75618858 126031430 189047145 378094290