Search a number
-
+
238029300 = 223352233833
BaseRepresentation
bin11100011000000…
…00100111110100
3121120220010211000
432030000213310
5441413414200
635341443300
75620133655
oct1614004764
9546803730
10238029300
111123a7a33
1267870530
133a410b52
142388152c
1515d6c300
hexe3009f4

238029300 has 144 divisors (see below), whose sum is σ = 798698880. Its totient is φ = 60698880.

The previous prime is 238029293. The next prime is 238029353. The reversal of 238029300 is 3920832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 60184 + ... + 64016.

It is an arithmetic number, because the mean of its divisors is an integer number (5546520).

Almost surely, 2238029300 is an apocalyptic number.

238029300 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 238029300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399349440).

238029300 is an abundant number, since it is smaller than the sum of its proper divisors (560669580).

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

238029300 is a wasteful number, since it uses less digits than its factorization.

238029300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 238029300 is about 15428.1982097716. The cubic root of 238029300 is about 619.7408733304.

The spelling of 238029300 in words is "two hundred thirty-eight million, twenty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 180 207 225 230 270 276 300 345 414 450 460 540 575 621 675 690 828 900 1035 1150 1242 1350 1380 1725 2070 2300 2484 2700 3105 3450 3833 4140 5175 6210 6900 7666 10350 11499 12420 15332 15525 19165 20700 22998 31050 34497 38330 45996 57495 62100 68994 76660 88159 95825 103491 114990 137988 172485 176318 191650 206982 229980 264477 287475 344970 352636 383300 413964 440795 517455 528954 574950 689940 793431 862425 881590 1034910 1057908 1149900 1322385 1586862 1724850 1763180 2069820 2203975 2380293 2587275 2644770 3173724 3449700 3967155 4407950 4760586 5174550 5289540 6611925 7934310 8815900 9521172 10349100 11901465 13223850 15868620 19835775 23802930 26447700 39671550 47605860 59507325 79343100 119014650 238029300