Search a number
-
+
42301350 = 232527131033
BaseRepresentation
bin1010000101011…
…1011110100110
32221121010112200
42201113132212
541312120400
64110355330
71022361360
oct241273646
987533480
1042301350
11219726a3
12121bbb46
1389c11b0
145891d30
153aa8b00
hex28577a6

42301350 has 144 divisors (see below), whose sum is σ = 140011872. Its totient is φ = 8916480.

The previous prime is 42301349. The next prime is 42301351. The reversal of 42301350 is 5310324.

It is an interprime number because it is at equal distance from previous prime (42301349) and next prime (42301351).

It is a super-3 number, since 3×423013503 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42301351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40434 + ... + 41466.

Almost surely, 242301350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42301350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70005936).

42301350 is an abundant number, since it is smaller than the sum of its proper divisors (97710522).

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

42301350 is a wasteful number, since it uses less digits than its factorization.

42301350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 42301350 is about 6503.9488005365. The cubic root of 42301350 is about 348.4320337711.

Adding to 42301350 its reverse (5310324), we get a palindrome (47611674).

The spelling of 42301350 in words is "forty-two million, three hundred one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 273 315 325 350 390 450 455 525 546 585 630 650 819 910 975 1033 1050 1170 1365 1575 1638 1950 2066 2275 2730 2925 3099 3150 4095 4550 5165 5850 6198 6825 7231 8190 9297 10330 13429 13650 14462 15495 18594 20475 21693 25825 26858 30990 36155 40287 40950 43386 46485 51650 65079 67145 72310 77475 80574 92970 94003 108465 120861 130158 134290 154950 180775 188006 201435 216930 232425 241722 282009 325395 335725 361550 402870 464850 470015 542325 564018 604305 650790 671450 846027 940030 1007175 1084650 1208610 1410045 1626975 1692054 2014350 2350075 2820090 3021525 3253950 4230135 4700150 6043050 7050225 8460270 14100450 21150675 42301350