Search a number
-
+
342555303024 = 2432111901113761
BaseRepresentation
bin1001111110000011110…
…00110001110001110000
31012202012021020102000100
410333001320301301300
521103023124144044
6421211232552400
733514561014234
oct4770170616160
91182167212010
10342555303024
111223055a1320
12564810b2700
13263c240469c
1412818c385c4
158d9d697869
hex4fc1e31c70

342555303024 has 120 divisors (see below), whose sum is σ = 1046391066864. Its totient is φ = 103749120000.

The previous prime is 342555303019. The next prime is 342555303037. The reversal of 342555303024 is 420303555243.

342555303024 is a `hidden beast` number, since 3 + 42 + 55 + 530 + 30 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 342555303024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2954304 + ... + 3068064.

Almost surely, 2342555303024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342555303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523195533432).

342555303024 is an abundant number, since it is smaller than the sum of its proper divisors (703835763840).

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

342555303024 is a wasteful number, since it uses less digits than its factorization.

342555303024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115687 (or 115678 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 342555303024 its reverse (420303555243), we get a palindrome (762858858267).

The spelling of 342555303024 in words is "three hundred forty-two billion, five hundred fifty-five million, three hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1901 3802 5703 7604 11406 15208 17109 20911 22812 30416 34218 41822 45624 62733 68436 83644 91248 113761 125466 136872 167288 188199 227522 250932 273744 334576 341283 376398 455044 501864 682566 752796 910088 1003728 1023849 1251371 1365132 1505592 1820176 2047698 2502742 2730264 3011184 3754113 4095396 5005484 5460528 7508226 8190792 10010968 11262339 15016452 16381584 20021936 22524678 30032904 45049356 60065808 90098712 180197424 216259661 432519322 648778983 865038644 1297557966 1730077288 1946336949 2378856271 2595115932 3460154576 3892673898 4757712542 5190231864 7136568813 7785347796 9515425084 10380463728 14273137626 15570695592 19030850168 21409706439 28546275252 31141391184 38061700336 42819412878 57092550504 85638825756 114185101008 171277651512 342555303024