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378027776 = 2871712409
BaseRepresentation
bin10110100010000…
…011111100000000
3222100022210121202
4112202003330000
51233233342101
6101302240332
712240116540
oct2642037400
9870283552
10378027776
11184428955
12a67260a8
136041a599
14382c5320
15232c336b
hex16883f00

378027776 has 72 divisors (see below), whose sum is σ = 913177440. Its totient is φ = 152469504.

The previous prime is 378027761. The next prime is 378027787. The reversal of 378027776 is 677720873.

378027776 = 17232 + 17242 + ... + 18412.

It is a Smith number, since the sum of its digits (47) 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 378027776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24260 + ... + 36668.

It is an arithmetic number, because the mean of its divisors is an integer number (12683020).

Almost surely, 2378027776 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 378027776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456588720).

378027776 is an abundant number, since it is smaller than the sum of its proper divisors (535149664).

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

378027776 is a wasteful number, since it uses less digits than its factorization.

378027776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 47.

The square root of 378027776 is about 19442.9364037431. The cubic root of 378027776 is about 723.0603889012.

The spelling of 378027776 in words is "three hundred seventy-eight million, twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 12409 15232 24818 30464 49636 86863 99272 173726 198544 210953 347452 397088 421906 694904 794176 843812 1389808 1476671 1588352 1687624 2779616 2953342 3176704 3375248 5559232 5906684 6750496 11118464 11813368 13500992 22236928 23626736 27001984 47253472 54003968 94506944 189013888 378027776