Search a number
-
+
41234700 = 223521397109
BaseRepresentation
bin1001110101001…
…1000100001100
32212120221101010
42131103010030
541024002300
64031445220
71010326533
oct235230414
985527333
1041234700
1121304271
1211986810
138709840
14569531a
153947a50
hex275310c

41234700 has 144 divisors (see below), whose sum is σ = 130998560. Its totient is φ = 9953280.

The previous prime is 41234663. The next prime is 41234701. The reversal of 41234700 is 743214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41234701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378246 + ... + 378354.

Almost surely, 241234700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41234700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499280).

41234700 is an abundant number, since it is smaller than the sum of its proper divisors (89763860).

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

41234700 is a wasteful number, since it uses less digits than its factorization.

41234700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 41234700 is about 6421.4250754797. The cubic root of 41234700 is about 345.4784372379.

Adding to 41234700 its reverse (743214), we get a palindrome (41977914).

The spelling of 41234700 in words is "forty-one million, two hundred thirty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 97 100 109 130 150 156 194 195 218 260 291 300 325 327 388 390 436 485 545 582 650 654 780 970 975 1090 1164 1261 1300 1308 1417 1455 1635 1940 1950 2180 2425 2522 2725 2834 2910 3270 3783 3900 4251 4850 5044 5450 5668 5820 6305 6540 7085 7275 7566 8175 8502 9700 10573 10900 12610 14170 14550 15132 16350 17004 18915 21146 21255 25220 28340 29100 31525 31719 32700 35425 37830 42292 42510 52865 63050 63438 70850 75660 85020 94575 105730 106275 126100 126876 137449 141700 158595 189150 211460 212550 264325 274898 317190 378300 412347 425100 528650 549796 634380 687245 792975 824694 1057300 1374490 1585950 1649388 2061735 2748980 3171900 3436225 4123470 6872450 8246940 10308675 13744900 20617350 41234700