Search a number
-
+
3894132330 = 23251110338189
BaseRepresentation
bin1110100000011011…
…1011111001101010
3101001101111102022100
43220012323321222
530433344213310
61442224434230
7165333402324
oct35006737152
911041442270
103894132330
111719155290
12908178976
134a0a0521a
1428d276614
1517bd11ec0
hexe81bbe6a

3894132330 has 96 divisors (see below), whose sum is σ = 11152702080. Its totient is φ = 934842240.

The previous prime is 3894132329. The next prime is 3894132343. The reversal of 3894132330 is 332314983.

3894132330 is a `hidden beast` number, since 3 + 8 + 9 + 413 + 233 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82876 + ... + 121064.

It is an arithmetic number, because the mean of its divisors is an integer number (116173980).

Almost surely, 23894132330 is an apocalyptic number.

3894132330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3894132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576351040).

3894132330 is an abundant number, since it is smaller than the sum of its proper divisors (7258569750).

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

3894132330 is a wasteful number, since it uses less digits than its factorization.

3894132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38316 (or 38313 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3894132330 is about 62402.9833421448. The cubic root of 3894132330 is about 1573.2711127102.

The spelling of 3894132330 in words is "three billion, eight hundred ninety-four million, one hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 103 110 165 198 206 309 330 495 515 618 927 990 1030 1133 1545 1854 2266 3090 3399 4635 5665 6798 9270 10197 11330 16995 20394 33990 38189 50985 76378 101970 114567 190945 229134 343701 381890 420079 572835 687402 840158 1145670 1260237 1718505 2100395 2520474 3437010 3780711 3933467 4200790 6301185 7561422 7866934 11800401 12602370 18903555 19667335 23600802 35401203 37807110 39334670 43268137 59002005 70802406 86536274 118004010 129804411 177006015 216340685 259608822 354012030 389413233 432681370 649022055 778826466 1298044110 1947066165 3894132330