Search a number
-
+
23414300 = 22527133183
BaseRepresentation
bin101100101010…
…0011000011100
31122001120101022
41121110120130
521443224200
62153503312
7403006160
oct131243034
948046338
1023414300
1112242568
127a11b38
134b0a520
143176ca0
1520c7885
hex165461c

23414300 has 144 divisors (see below), whose sum is σ = 65329152. Its totient is φ = 7084800.

The previous prime is 23414291. The next prime is 23414351. The reversal of 23414300 is 341432.

It is a congruent number.

It is an unprimeable number.

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, 282059 + ... + 282141.

Almost surely, 223414300 is an apocalyptic number.

23414300 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 23414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664576).

23414300 is an abundant number, since it is smaller than the sum of its proper divisors (41914852).

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

23414300 is a wasteful number, since it uses less digits than its factorization.

23414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 23414300 is about 4838.8325038174. The cubic root of 23414300 is about 286.0841032588.

Adding to 23414300 its reverse (341432), we get a palindrome (23755732).

The spelling of 23414300 in words is "twenty-three million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 31 35 50 52 62 65 70 83 91 100 124 130 140 155 166 175 182 217 260 310 325 332 350 364 403 415 434 455 581 620 650 700 775 806 830 868 910 1079 1085 1162 1300 1550 1612 1660 1820 2015 2075 2158 2170 2275 2324 2573 2821 2905 3100 4030 4150 4316 4340 4550 5146 5395 5425 5642 5810 7553 8060 8300 9100 10075 10292 10790 10850 11284 11620 12865 14105 14525 15106 18011 20150 21580 21700 25730 26975 28210 29050 30212 33449 36022 37765 40300 51460 53950 56420 58100 64325 66898 70525 72044 75530 90055 107900 128650 133796 141050 151060 167245 180110 188825 234143 257300 282100 334490 360220 377650 450275 468286 668980 755300 836225 900550 936572 1170715 1672450 1801100 2341430 3344900 4682860 5853575 11707150 23414300