Search a number
-
+
298378100 = 225229313319
BaseRepresentation
bin10001110010001…
…110001101110100
3202210110011210202
4101302032031310
51102341044400
645335140032
710252112666
oct2162161564
9683404722
10298378100
11143476979
1283b14618
1349a807b7
142b8b0536
151b2dd4d5
hex11c8e374

298378100 has 72 divisors (see below), whose sum is σ = 691622400. Its totient is φ = 111484800.

The previous prime is 298378097. The next prime is 298378133. The reversal of 298378100 is 1873892.

298378100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2983781004 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88241 + ... + 91559.

Almost surely, 2298378100 is an apocalyptic number.

298378100 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 298378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345811200).

298378100 is an abundant number, since it is smaller than the sum of its proper divisors (393244300).

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

298378100 is a wasteful number, since it uses less digits than its factorization.

298378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 298378100 is about 17273.6244025393. The cubic root of 298378100 is about 668.2243769178.

The spelling of 298378100 in words is "two hundred ninety-eight million, three hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 145 155 290 310 580 620 725 775 899 1450 1550 1798 2900 3100 3319 3596 4495 6638 8990 13276 16595 17980 22475 33190 44950 66380 82975 89900 96251 102889 165950 192502 205778 331900 385004 411556 481255 514445 962510 1028890 1925020 2057780 2406275 2572225 2983781 4812550 5144450 5967562 9625100 10288900 11935124 14918905 29837810 59675620 74594525 149189050 298378100