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378056070 = 232572591453
BaseRepresentation
bin10110100010001…
…010110110000110
3222100101020102200
4112202022312012
51233240243240
6101303015330
712240265200
oct2642126606
9870336380
10378056070
11184448137
12a673a546
136042a422
14382d1770
15232cb930
hex1688ad86

378056070 has 144 divisors (see below), whose sum is σ = 1163607120. Its totient is φ = 84889728.

The previous prime is 378056059. The next prime is 378056087. The reversal of 378056070 is 70650873.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259464 + ... + 260916.

It is an arithmetic number, because the mean of its divisors is an integer number (8080605).

Almost surely, 2378056070 is an apocalyptic number.

378056070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378056070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581803560).

378056070 is an abundant number, since it is smaller than the sum of its proper divisors (785551050).

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

378056070 is a wasteful number, since it uses less digits than its factorization.

378056070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 378056070 is about 19443.6640065601. The cubic root of 378056070 is about 723.0784279286.

The spelling of 378056070 in words is "three hundred seventy-eight million, fifty-six thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 59 63 70 90 98 105 118 126 147 177 210 245 294 295 315 354 413 441 490 531 590 630 735 826 882 885 1062 1239 1453 1470 1770 2065 2205 2478 2655 2891 2906 3717 4130 4359 4410 5310 5782 6195 7265 7434 8673 8718 10171 12390 13077 14455 14530 17346 18585 20342 21795 26019 26154 28910 30513 37170 43365 43590 50855 52038 61026 65385 71197 85727 86730 91539 101710 130095 130770 142394 152565 171454 183078 213591 257181 260190 305130 355985 427182 428635 457695 514362 600089 640773 711970 771543 857270 915390 1067955 1200178 1281546 1285905 1543086 1800267 2135910 2571810 3000445 3203865 3600534 3857715 4200623 5400801 6000890 6407730 7715430 8401246 9001335 10801602 12601869 18002670 21003115 25203738 27004005 37805607 42006230 54008010 63009345 75611214 126018690 189028035 378056070