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378690444 = 223311192883
BaseRepresentation
bin10110100100100…
…101101110001100
3222101120110122000
4112210211232030
51233421043234
6101324352300
712245546526
oct2644455614
9871513560
10378690444
11184840810
12a69a5690
13605c00b2
1438418a16
15233a4899
hex16925b8c

378690444 has 144 divisors (see below), whose sum is σ = 1131661440. Its totient is φ = 108591840.

The previous prime is 378690427. The next prime is 378690457. The reversal of 378690444 is 444096873.

378690444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 378690444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428427 + ... + 429309.

It is an arithmetic number, because the mean of its divisors is an integer number (7858760).

Almost surely, 2378690444 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 378690444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565830720).

378690444 is an abundant number, since it is smaller than the sum of its proper divisors (752970996).

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

378690444 is a wasteful number, since it uses less digits than its factorization.

378690444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 378690444 is about 19459.9702980246. The cubic root of 378690444 is about 723.4826411871.

The spelling of 378690444 in words is "three hundred seventy-eight million, six hundred ninety thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 361 396 418 513 594 627 684 722 836 883 1026 1083 1188 1254 1444 1766 1881 2052 2166 2508 2649 3249 3532 3762 3971 4332 5298 5643 6498 7524 7942 7947 9713 9747 10596 11286 11913 12996 15884 15894 16777 19426 19494 22572 23826 23841 29139 31788 33554 35739 38852 38988 47652 47682 50331 58278 67108 71478 87417 95364 100662 107217 116556 142956 150993 174834 184547 201324 214434 262251 301986 318763 349668 369094 428868 452979 524502 553641 603972 637526 738188 905958 956289 1049004 1107282 1275052 1660923 1811916 1912578 2214564 2868867 3321846 3506393 3825156 4982769 5737734 6643692 7012786 8606601 9965538 10519179 11475468 14025572 17213202 19931076 21038358 31557537 34426404 42076716 63115074 94672611 126230148 189345222 378690444