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378944208 = 243219433221
BaseRepresentation
bin10110100101100…
…011101011010000
3222102001100201200
4112211203223100
51234002203313
6101334031200
712250654416
oct2645435320
9872040650
10378944208
111849a4435
12a6aa8500
136067b756
14384832b6
1523404b73
hex16963ad0

378944208 has 120 divisors (see below), whose sum is σ = 1142650080. Its totient is φ = 116847360.

The previous prime is 378944207. The next prime is 378944231. The reversal of 378944208 is 802449873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378944201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116038 + ... + 119258.

It is an arithmetic number, because the mean of its divisors is an integer number (9522084).

Almost surely, 2378944208 is an apocalyptic number.

378944208 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 378944208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571325040).

378944208 is an abundant number, since it is smaller than the sum of its proper divisors (763705872).

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

378944208 is a wasteful number, since it uses less digits than its factorization.

378944208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 378944208 is about 19466.4893599231. The cubic root of 378944208 is about 723.6442092592.

The spelling of 378944208 in words is "three hundred seventy-eight million, nine hundred forty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 43 48 57 72 76 86 114 129 144 152 171 172 228 258 304 342 344 387 456 516 684 688 774 817 912 1032 1368 1548 1634 2064 2451 2736 3096 3221 3268 4902 6192 6442 6536 7353 9663 9804 12884 13072 14706 19326 19608 25768 28989 29412 38652 39216 51536 57978 58824 61199 77304 115956 117648 122398 138503 154608 183597 231912 244796 277006 367194 415509 463824 489592 550791 554012 734388 831018 979184 1101582 1108024 1246527 1468776 1662036 2203164 2216048 2493054 2631557 2937552 3324072 4406328 4986108 5263114 6648144 7894671 8812656 9972216 10526228 15789342 19944432 21052456 23684013 31578684 42104912 47368026 63157368 94736052 126314736 189472104 378944208