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242433400 = 235211263419
BaseRepresentation
bin11100111001100…
…11110101111000
3121220011220002211
432130303311320
5444030332100
640020104504
76002435626
oct1634636570
9556156084
10242433400
11114935890
1269235134
133b2c3621
14242aa516
151643c1ba
hexe733d78

242433400 has 96 divisors (see below), whose sum is σ = 618710400. Its totient is φ = 87612800.

The previous prime is 242433397. The next prime is 242433427. The reversal of 242433400 is 4334242.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578391 + ... + 578809.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2242433400 is an apocalyptic number.

242433400 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 242433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

242433400 is an abundant number, since it is smaller than the sum of its proper divisors (376277000).

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

242433400 is a wasteful number, since it uses less digits than its factorization.

242433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 242433400 is about 15570.2729584295. The cubic root of 242433400 is about 623.5397589708.

Adding to 242433400 its reverse (4334242), we get a palindrome (246767642).

The spelling of 242433400 in words is "two hundred forty-two million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 263 275 419 440 526 550 838 1052 1100 1315 1676 2095 2104 2200 2630 2893 3352 4190 4609 5260 5786 6575 8380 9218 10475 10520 11572 13150 14465 16760 18436 20950 23045 23144 26300 28930 36872 41900 46090 52600 57860 72325 83800 92180 110197 115225 115720 144650 184360 220394 230450 289300 440788 460900 550985 578600 881576 921800 1101970 1212167 2203940 2424334 2754925 4407880 4848668 5509850 6060835 9697336 11019700 12121670 22039400 24243340 30304175 48486680 60608350 121216700 242433400