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4342013424 = 24357159539
BaseRepresentation
bin1000000101100110…
…11101110111110000
3102012121021010200000
410002303131313300
532343023412144
61554504230000
7212412335160
oct40263356760
912177233600
104342013424
111928a53a51
12a1216b300
1354273c618
142d29425a0
151a62d2769
hex102cdddf0

4342013424 has 120 divisors (see below), whose sum is σ = 14401994880. Its totient is φ = 1240567488.

The previous prime is 4342013341. The next prime is 4342013441. The reversal of 4342013424 is 4243102434.

It is a happy number.

4342013424 is a `hidden beast` number, since 4 + 34 + 201 + 3 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 52554 + ... + 106985.

It is an arithmetic number, because the mean of its divisors is an integer number (120016624).

Almost surely, 24342013424 is an apocalyptic number.

It is an amenable number.

4342013424 is an abundant number, since it is smaller than the sum of its proper divisors (10059981456).

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

4342013424 is a wasteful number, since it uses less digits than its factorization.

4342013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159569 (or 159551 counting only the distinct ones).

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

The square root of 4342013424 is about 65893.9558988531. The cubic root of 4342013424 is about 1631.4122559174.

Adding to 4342013424 its reverse (4243102434), we get a palindrome (8585115858).

The spelling of 4342013424 in words is "four billion, three hundred forty-two million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 159539 319078 478617 638156 957234 1116773 1276312 1435851 1914468 2233546 2552624 2871702 3350319 3828936 4307553 4467092 5743404 6700638 7657872 8615106 8934184 10050957 11486808 12922659 13401276 17230212 17868368 20101914 22973616 25845318 26802552 30152871 34460424 38767977 40203828 51690636 53605104 60305742 68920848 77535954 80407656 90458613 103381272 120611484 155071908 160815312 180917226 206762544 241222968 271375839 310143816 361834452 482445936 542751678 620287632 723668904 1085503356 1447337808 2171006712 4342013424