[go: up one dir, main page]

Search a number
-
+
238051340 = 2251737127149
BaseRepresentation
bin11100011000001…
…10000000001100
3121120221021001022
432030012000030
5441420120330
635342133312
75620255142
oct1614060014
9546837038
10238051340
1111241254a
1267881238
133a41aba7
1423889592
1515d73ae5
hexe30600c

238051340 has 96 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 85929984.

The previous prime is 238051301. The next prime is 238051351. The reversal of 238051340 is 43150832.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1597586 + ... + 1597734.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2238051340 is an apocalyptic number.

238051340 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 238051340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

238051340 is an abundant number, since it is smaller than the sum of its proper divisors (313526260).

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

238051340 is a wasteful number, since it uses less digits than its factorization.

238051340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 238051340 is about 15428.9124697757. The cubic root of 238051340 is about 619.7600007618.

The spelling of 238051340 in words is "two hundred thirty-eight million, fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 127 148 149 170 185 254 298 340 370 508 596 629 635 740 745 1258 1270 1490 2159 2516 2533 2540 2980 3145 4318 4699 5066 5513 6290 8636 9398 10132 10795 11026 12580 12665 18796 18923 21590 22052 23495 25330 27565 37846 43180 46990 50660 55130 75692 79883 93721 93980 94615 110260 159766 187442 189230 319532 321691 374884 378460 399415 468605 643382 700151 798830 937210 1286764 1400302 1597660 1608455 1874420 2800604 3216910 3500755 6433820 7001510 11902567 14003020 23805134 47610268 59512835 119025670 238051340