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394384896 = 293347607
BaseRepresentation
bin10111100000011…
…101011000000000
31000111002211101000
4113200131120000
51301430304041
6103045012000
712526134123
oct2740353000
91014084330
10394384896
11192690234
12b00b4000
1363926859
143a5423ba
1524954bb6
hex1781d600

394384896 has 160 divisors (see below), whose sum is σ = 1194209280. Its totient is φ = 128452608.

The previous prime is 394384889. The next prime is 394384897. The reversal of 394384896 is 698483493.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394384897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649425 + ... + 650031.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2394384896 is an apocalyptic number.

394384896 is a gapful number since it is divisible by the number (36) 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 394384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597104640).

394384896 is an abundant number, since it is smaller than the sum of its proper divisors (799824384).

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

394384896 is an equidigital number, since it uses as much as digits as its factorization.

394384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 659 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 394384896 is about 19859.1262647680. The cubic root of 394384896 is about 733.3423367122.

The spelling of 394384896 in words is "three hundred ninety-four million, three hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 512 564 576 607 752 768 846 864 1128 1152 1214 1269 1504 1536 1692 1728 1821 2256 2304 2428 2538 3008 3384 3456 3642 4512 4608 4856 5076 5463 6016 6768 6912 7284 9024 9712 10152 10926 12032 13536 13824 14568 16389 18048 19424 20304 21852 24064 27072 28529 29136 32778 36096 38848 40608 43704 54144 57058 58272 65556 72192 77696 81216 85587 87408 108288 114116 116544 131112 155392 162432 171174 174816 216576 228232 233088 256761 262224 310784 324864 342348 349632 456464 466176 513522 524448 649728 684696 699264 770283 912928 932352 1027044 1048896 1369392 1398528 1540566 1825856 2054088 2097792 2738784 2797056 3081132 3651712 4108176 4195584 5477568 6162264 7303424 8216352 8391168 10955136 12324528 14606848 16432704 21910272 24649056 32865408 43820544 49298112 65730816 98596224 131461632 197192448 394384896