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378240 = 2735197
BaseRepresentation
bin1011100010110000000
3201012211220
41130112000
544100430
612035040
73133512
oct1342600
9635756
10378240
112391a5
12162a80
13103215
149bbb2
1577110
hex5c580

378240 has 64 divisors (see below), whose sum is σ = 1211760. Its totient is φ = 100352.

The previous prime is 378239. The next prime is 378241. The reversal of 378240 is 42873.

It is an interprime number because it is at equal distance from previous prime (378239) and next prime (378241).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 378240.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 378240.

It is not an unprimeable number, because it can be changed into a prime (378241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1822 + ... + 2018.

2378240 is an apocalyptic number.

378240 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 378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605880).

378240 is an abundant number, since it is smaller than the sum of its proper divisors (833520).

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

378240 is a wasteful number, since it uses less digits than its factorization.

378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 378240 is about 615.0121950010. The cubic root of 378240 is about 72.3195671783.

The spelling of 378240 in words is "three hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 197 240 320 384 394 480 591 640 788 960 985 1182 1576 1920 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 12608 15760 18912 23640 25216 31520 37824 47280 63040 75648 94560 126080 189120 378240