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378879420 = 223547913183
BaseRepresentation
bin10110100101010…
…011110110111100
3222101221001212010
4112211103312330
51233443120140
6101332411220
712250264503
oct2645236674
9871831763
10378879420
1118495a797
12a6a76b10
136065810a
143846783a
15233e0880
hex16953dbc

378879420 has 48 divisors (see below), whose sum is σ = 1063157760. Its totient is φ = 100815936.

The previous prime is 378879419. The next prime is 378879421. The reversal of 378879420 is 24978873.

It is an interprime number because it is at equal distance from previous prime (378879419) and next prime (378879421).

It is a super-2 number, since 2×3788794202 = 287099229799072800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 378879420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378879421) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22149 + ... + 35331.

It is an arithmetic number, because the mean of its divisors is an integer number (22149120).

Almost surely, 2378879420 is an apocalyptic number.

378879420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

378879420 is an abundant number, since it is smaller than the sum of its proper divisors (684278340).

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

378879420 is a wasteful number, since it uses less digits than its factorization.

378879420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13674 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 378879420 is about 19464.8251982904. The cubic root of 378879420 is about 723.6029664833.

The spelling of 378879420 in words is "three hundred seventy-eight million, eight hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 479 958 1437 1916 2395 2874 4790 5748 7185 9580 13183 14370 26366 28740 39549 52732 65915 79098 131830 158196 197745 263660 395490 790980 6314657 12629314 18943971 25258628 31573285 37887942 63146570 75775884 94719855 126293140 189439710 378879420