Search a number
-
+
383394960 = 243251340961
BaseRepresentation
bin10110110110100…
…010010010010000
3222201102111000100
4112312202102100
51241122114320
6102013252400
712333542364
oct2666422220
9881374010
10383394960
11187464343
12a8494100
1361579530
1438cc12a4
15239d3790
hex16da2490

383394960 has 120 divisors (see below), whose sum is σ = 1386645624. Its totient is φ = 94371840.

The previous prime is 383394919. The next prime is 383394961. The reversal of 383394960 is 69493383.

It can be written as a sum of positive squares in 4 ways, for example, as 48944016 + 334450944 = 6996^2 + 18288^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (383394961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11121 + ... + 29840.

Almost surely, 2383394960 is an apocalyptic number.

383394960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

383394960 is an abundant number, since it is smaller than the sum of its proper divisors (1003250664).

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

383394960 is a wasteful number, since it uses less digits than its factorization.

383394960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40993 (or 40984 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 383394960 is about 19580.4739472772. The cubic root of 383394960 is about 726.4662897094.

The spelling of 383394960 in words is "three hundred eighty-three million, three hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 40961 81922 122883 163844 204805 245766 327688 368649 409610 491532 532493 614415 655376 737298 819220 983064 1064986 1228830 1474596 1597479 1638440 1843245 1966128 2129972 2457660 2662465 2949192 3194958 3276880 3686490 4259944 4792437 4915320 5324930 5898384 6389916 7372980 7987395 8519888 9584874 9830640 10649860 12779832 14745960 15974790 19169748 21299720 23962185 25559664 29491920 31949580 38339496 42599440 47924370 63899160 76678992 95848740 127798320 191697480 383394960