Search a number
-
+
293035380 = 2235112181223
BaseRepresentation
bin10001011101110…
…101110101110100
3202102101201222020
4101131311311310
51100004113010
645024433140
710155521361
oct2135656564
9672351866
10293035380
11140457900
12821787b0
134892ca21
142acbd468
151aad5470
hex11775d74

293035380 has 144 divisors (see below), whose sum is σ = 910920192. Its totient is φ = 70329600.

The previous prime is 293035361. The next prime is 293035403. The reversal of 293035380 is 83530392.

It is a super-4 number, since 4×2930353804 (a number of 35 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1313949 + ... + 1314171.

Almost surely, 2293035380 is an apocalyptic number.

293035380 is a gapful number since it is divisible by the number (20) 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 293035380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455460096).

293035380 is an abundant number, since it is smaller than the sum of its proper divisors (617884812).

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

293035380 is a wasteful number, since it uses less digits than its factorization.

293035380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 293035380 is about 17118.2761982625. The cubic root of 293035380 is about 664.2119521024.

The spelling of 293035380 in words is "two hundred ninety-three million, thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 181 220 223 242 330 362 363 446 484 543 605 660 669 724 726 892 905 1086 1115 1210 1338 1452 1810 1815 1991 2172 2230 2420 2453 2676 2715 3345 3620 3630 3982 4460 4906 5430 5973 6690 7260 7359 7964 9812 9955 10860 11946 12265 13380 14718 19910 21901 23892 24530 26983 29436 29865 36795 39820 40363 43802 49060 53966 59730 65703 73590 80726 80949 87604 107932 109505 119460 121089 131406 134915 147180 161452 161898 201815 219010 242178 262812 269830 323796 328515 403630 404745 438020 443993 484356 539660 605445 657030 807260 809490 887986 1210890 1314060 1331979 1618980 1775972 2219965 2421780 2663958 4439930 4883923 5327916 6659895 8879860 9767846 13319790 14651769 19535692 24419615 26639580 29303538 48839230 58607076 73258845 97678460 146517690 293035380