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378190332 = 2232134318793
BaseRepresentation
bin10110100010101…
…011100111111100
3222100122001121100
4112202223213330
51233304042312
6101305533100
712241364502
oct2642534774
9870561540
10378190332
11184529aa3
12a67a4190
1360476580
1438328672
15233065dc
hex168ab9fc

378190332 has 72 divisors (see below), whose sum is σ = 1053516464. Its totient is φ = 113654016.

The previous prime is 378190303. The next prime is 378190349. The reversal of 378190332 is 233091873.

It is a happy number.

378190332 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10728 + ... + 29520.

Almost surely, 2378190332 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 378190332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526758232).

378190332 is an abundant number, since it is smaller than the sum of its proper divisors (675326132).

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

378190332 is a wasteful number, since it uses less digits than its factorization.

378190332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18859 (or 18854 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 378190332 is about 19447.1162900827. The cubic root of 378190332 is about 723.1640152911.

The spelling of 378190332 in words is "three hundred seventy-eight million, one hundred ninety thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 10062 18793 20124 37586 56379 75172 112758 169137 225516 244309 338274 488618 676548 732927 808099 977236 1465854 1616198 2198781 2424297 2931708 3232396 4397562 4848594 7272891 8795124 9697188 10505287 14545782 21010574 29091564 31515861 42021148 63031722 94547583 126063444 189095166 378190332