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42323400 = 23325273359
BaseRepresentation
bin1010000101110…
…0110111001000
32221122020210100
42201130313020
541313322100
64111045400
71022512560
oct241346710
987566710
1042323400
1121988219
1212210860
1389cb242
145899da0
153ab0400
hex285cdc8

42323400 has 144 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 9671040.

The previous prime is 42323363. The next prime is 42323417. The reversal of 42323400 is 432324.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10921 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 242323400 is an apocalyptic number.

42323400 is a gapful number since it is divisible by the number (40) 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 42323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

42323400 is an abundant number, since it is smaller than the sum of its proper divisors (120166200).

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

42323400 is a wasteful number, since it uses less digits than its factorization.

42323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42323400 is about 6505.6437037391. The cubic root of 42323400 is about 348.4925644775.

Adding to 42323400 its reverse (432324), we get a palindrome (42755724).

The spelling of 42323400 in words is "forty-two million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 3359 4200 6300 6718 10077 12600 13436 16795 20154 23513 26872 30231 33590 40308 47026 50385 60462 67180 70539 80616 83975 94052 100770 117565 120924 134360 141078 151155 167950 188104 201540 211617 235130 241848 251925 282156 302310 335900 352695 403080 423234 470260 503850 564312 587825 604620 671800 705390 755775 846468 940520 1007700 1058085 1175650 1209240 1410780 1511550 1692936 1763475 2015400 2116170 2351300 2821560 3023100 3526950 4232340 4702600 5290425 6046200 7053900 8464680 10580850 14107800 21161700 42323400