Search a number
-
+
393284940 = 223526324923
BaseRepresentation
bin10111011100010…
…000110101001100
31000102000221111220
4113130100311030
51301140104230
6103005243340
712513603216
oct2734206514
91012027456
10393284940
11191aa9884
12ab863550
136362cca9
143a3375b6
15247d8d10
hex17710d4c

393284940 has 48 divisors (see below), whose sum is σ = 1105429248. Its totient is φ = 104473024.

The previous prime is 393284939. The next prime is 393284977. The reversal of 393284940 is 49482393.

It is a happy number.

It is a super-3 number, since 3×3932849403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 393284892 and 393284901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3319 + ... + 28241.

It is an arithmetic number, because the mean of its divisors is an integer number (23029776).

Almost surely, 2393284940 is an apocalyptic number.

393284940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393284940 is an abundant number, since it is smaller than the sum of its proper divisors (712144308).

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

393284940 is a wasteful number, since it uses less digits than its factorization.

393284940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25198 (or 25196 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 393284940 is about 19831.4129602507. The cubic root of 393284940 is about 732.6599277278.

The spelling of 393284940 in words is "three hundred ninety-three million, two hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 263 526 789 1052 1315 1578 2630 3156 3945 5260 7890 15780 24923 49846 74769 99692 124615 149538 249230 299076 373845 498460 747690 1495380 6554749 13109498 19664247 26218996 32773745 39328494 65547490 78656988 98321235 131094980 196642470 393284940