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378050448 = 243192367269
BaseRepresentation
bin10110100010001…
…001011110010000
3222100100221201110
4112202021132100
51233240103243
6101302533320
712240242616
oct2642113620
9870327643
10378050448
11184443996
12a6737240
13604279b9
14382cd6b6
15232c9e33
hex16889790

378050448 has 160 divisors (see below), whose sum is σ = 1092787200. Its totient is φ = 112071168.

The previous prime is 378050443. The next prime is 378050459. The reversal of 378050448 is 844050873.

378050448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (378050443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405258 + ... + 1405526.

It is an arithmetic number, because the mean of its divisors is an integer number (6829920).

Almost surely, 2378050448 is an apocalyptic number.

378050448 is a gapful number since it is divisible by the number (38) 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 378050448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546393600).

378050448 is an abundant number, since it is smaller than the sum of its proper divisors (714736752).

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

378050448 is a wasteful number, since it uses less digits than its factorization.

378050448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 378050448 is about 19443.5194345057. The cubic root of 378050448 is about 723.0748436569.

The spelling of 378050448 in words is "three hundred seventy-eight million, fifty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 67 69 76 92 114 134 138 152 184 201 228 268 269 276 304 368 402 437 456 536 538 552 804 807 874 912 1072 1076 1104 1273 1311 1541 1608 1614 1748 2152 2546 2622 3082 3216 3228 3496 3819 4304 4623 5092 5111 5244 6164 6187 6456 6992 7638 9246 10184 10222 10488 12328 12374 12912 15276 15333 18023 18492 18561 20368 20444 20976 24656 24748 29279 30552 30666 36046 36984 37122 40888 49496 54069 58558 61104 61332 72092 73968 74244 81776 87837 98992 108138 117116 117553 122664 144184 148488 175674 216276 234232 235106 245328 288368 296976 342437 351348 352659 414529 432552 468464 470212 684874 702696 705318 829058 865104 940424 1027311 1243587 1369748 1405392 1410636 1658116 1880848 2054622 2487174 2739496 2821272 3316232 4109244 4974348 5478992 5642544 6632464 7876051 8218488 9948696 15752102 16436976 19897392 23628153 31504204 47256306 63008408 94512612 126016816 189025224 378050448