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242426340 = 2232513211491
BaseRepresentation
bin11100111001100…
…10000111100100
3121220011112102100
432130302013210
5444030120330
640020012100
76002406222
oct1634620744
9556145370
10242426340
11114930552
1269231030
133b2c0350
14242a7b12
151643a060
hexe7321e4

242426340 has 144 divisors (see below), whose sum is σ = 797299776. Its totient is φ = 59270400.

The previous prime is 242426333. The next prime is 242426347. The reversal of 242426340 is 43624242.

242426340 is a `hidden beast` number, since 2 + 4 + 24 + 2 + 634 + 0 = 666.

242426340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242426333) and next prime (242426347).

It is not an unprimeable number, because it can be changed into a prime (242426347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493495 + ... + 493985.

It is an arithmetic number, because the mean of its divisors is an integer number (5536804).

Almost surely, 2242426340 is an apocalyptic number.

242426340 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 242426340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398649888).

242426340 is an abundant number, since it is smaller than the sum of its proper divisors (554873436).

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

242426340 is a wasteful number, since it uses less digits than its factorization.

242426340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 242426340 is about 15570.0462427059. The cubic root of 242426340 is about 623.5337061285.

The spelling of 242426340 in words is "two hundred forty-two million, four hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 211 234 260 390 422 468 491 585 633 780 844 982 1055 1170 1266 1473 1899 1964 2110 2340 2455 2532 2743 2946 3165 3798 4220 4419 4910 5486 5892 6330 6383 7365 7596 8229 8838 9495 9820 10972 12660 12766 13715 14730 16458 17676 18990 19149 22095 24687 25532 27430 29460 31915 32916 37980 38298 41145 44190 49374 54860 57447 63830 76596 82290 88380 95745 98748 103601 114894 123435 127660 164580 191490 207202 229788 246870 287235 310803 382980 414404 493740 518005 574470 621606 932409 1036010 1148940 1243212 1346813 1554015 1864818 2072020 2693626 3108030 3729636 4040439 4662045 5387252 6216060 6734065 8080878 9324090 12121317 13468130 16161756 18648180 20202195 24242634 26936260 40404390 48485268 60606585 80808780 121213170 242426340