Search a number
-
+
994946328 = 233423241277
BaseRepresentation
bin111011010011011…
…010110100011000
32120100011111210000
4323103122310120
54014201240303
6242421053000
733440622105
oct7323326430
92510144700
10994946328
114706919a2
12239257160
1312b18ab4c
14961d3aac
155c533da3
hex3b4dad18

994946328 has 160 divisors (see below), whose sum is σ = 2930542560. Its totient is φ = 314772480.

The previous prime is 994946327. The next prime is 994946401. The reversal of 994946328 is 823649499.

994946328 is a `hidden beast` number, since 99 + 494 + 63 + 2 + 8 = 666.

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 (994946327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3591726 + ... + 3592002.

It is an arithmetic number, because the mean of its divisors is an integer number (18315891).

Almost surely, 2994946328 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 994946328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465271280).

994946328 is an abundant number, since it is smaller than the sum of its proper divisors (1935596232).

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

994946328 is a wasteful number, since it uses less digits than its factorization.

994946328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 546 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 994946328 is about 31542.7698213077. The cubic root of 994946328 is about 998.3125969391.

The spelling of 994946328 in words is "nine hundred ninety-four million, nine hundred forty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 241 276 277 324 414 482 552 554 621 648 723 828 831 964 1108 1242 1446 1656 1662 1863 1928 2169 2216 2484 2493 2892 3324 3726 4338 4968 4986 5543 5784 6371 6507 6648 7452 7479 8676 9972 11086 12742 13014 14904 14958 16629 17352 19113 19521 19944 22172 22437 25484 26028 29916 33258 38226 39042 44344 44874 49887 50968 52056 57339 59832 66516 66757 76452 78084 89748 99774 114678 133032 133514 149661 152904 156168 172017 179496 199548 200271 229356 267028 299322 344034 399096 400542 448983 458712 516051 534056 598644 600813 688068 801084 897966 1032102 1197288 1201626 1376136 1535411 1602168 1795932 1802439 2064204 2403252 3070822 3591864 3604878 4128408 4606233 4806504 5407317 6141644 7209756 9212466 10814634 12283288 13818699 14419512 18424932 21629268 27637398 36849864 41456097 43258536 55274796 82912194 110549592 124368291 165824388 248736582 331648776 497473164 994946328