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394820352 = 28332392
BaseRepresentation
bin10111100010000…
…111101100000000
31000111220221201000
4113202013230000
51302033222402
6103102212000
712532626513
oct2742075400
91014827630
10394820352
11192958413
12b0284000
1363a49b14
143a616d7a
15249ddc1c
hex17887b00

394820352 has 108 divisors (see below), whose sum is σ = 1172458840. Its totient is φ = 131056128.

The previous prime is 394820341. The next prime is 394820353. The reversal of 394820352 is 253028493.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×3948203522 = 311766220706807808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (394820353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1651849 + ... + 1652087.

Almost surely, 2394820352 is an apocalyptic number.

394820352 is a gapful number since it is divisible by the number (32) 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 394820352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586229420).

394820352 is an abundant number, since it is smaller than the sum of its proper divisors (777638488).

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

394820352 is an frugal number, since it uses more digits than its factorization.

394820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 394820352 is about 19870.0868644302. The cubic root of 394820352 is about 733.6121415522.

The spelling of 394820352 in words is "three hundred ninety-four million, eight hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 239 256 288 384 432 478 576 717 768 864 956 1152 1434 1728 1912 2151 2304 2868 3456 3824 4302 5736 6453 6912 7648 8604 11472 12906 15296 17208 22944 25812 30592 34416 45888 51624 57121 61184 68832 91776 103248 114242 137664 171363 183552 206496 228484 275328 342726 412992 456968 514089 550656 685452 825984 913936 1028178 1370904 1542267 1651968 1827872 2056356 2741808 3084534 3655744 4112712 5483616 6169068 7311488 8225424 10967232 12338136 14622976 16450848 21934464 24676272 32901696 43868928 49352544 65803392 98705088 131606784 197410176 394820352