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378055320 = 233573103419
BaseRepresentation
bin10110100010001…
…010101010011000
3222100101012101220
4112202022222120
51233240232240
6101303012040
712240263046
oct2642125230
9870335356
10378055320
11184447615
12a673a020
1360429c96
14382d1396
15232cb5d0
hex1688aa98

378055320 has 128 divisors (see below), whose sum is σ = 1163635200. Its totient is φ = 98233344.

The previous prime is 378055319. The next prime is 378055387. The reversal of 378055320 is 23550873.

378055320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902071 + ... + 902489.

It is an arithmetic number, because the mean of its divisors is an integer number (9090900).

Almost surely, 2378055320 is an apocalyptic number.

378055320 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 378055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581817600).

378055320 is an abundant number, since it is smaller than the sum of its proper divisors (785579880).

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

378055320 is a wasteful number, since it uses less digits than its factorization.

378055320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 378055320 is about 19443.6447200621. The cubic root of 378055320 is about 723.0779497728.

The spelling of 378055320 in words is "three hundred seventy-eight million, fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 103 120 146 206 219 292 309 365 412 419 438 515 584 618 730 824 838 876 1030 1095 1236 1257 1460 1545 1676 1752 2060 2095 2190 2472 2514 2920 3090 3352 4120 4190 4380 5028 6180 6285 7519 8380 8760 10056 12360 12570 15038 16760 22557 25140 30076 30587 37595 43157 45114 50280 60152 61174 75190 86314 90228 91761 112785 122348 129471 150380 152935 172628 180456 183522 215785 225570 244696 258942 300760 305870 345256 367044 431570 451140 458805 517884 611740 647355 734088 863140 902280 917610 1035768 1223480 1294710 1726280 1835220 2589420 3150461 3670440 5178840 6300922 9451383 12601844 15752305 18902766 25203688 31504610 37805532 47256915 63009220 75611064 94513830 126018440 189027660 378055320