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2434373136 = 243313433471
BaseRepresentation
bin1001000100011001…
…1001011000010000
320021122200222011000
42101012121120100
514441144420021
61041321022000
7114216554526
oct22106313020
96248628130
102434373136
11103a15a628
1257b324900
132ca4622a0
1419144a316
15e3ab5b26
hex91199610

2434373136 has 80 divisors (see below), whose sum is σ = 7525073920. Its totient is φ = 749036160.

The previous prime is 2434373101. The next prime is 2434373141. The reversal of 2434373136 is 6313734342.

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 2434373136.

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 15 ways as a sum of consecutive naturals, for example, 211120 + ... + 222351.

It is an arithmetic number, because the mean of its divisors is an integer number (94063424).

Almost surely, 22434373136 is an apocalyptic number.

2434373136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2434373136 is an abundant number, since it is smaller than the sum of its proper divisors (5090700784).

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

2434373136 is a wasteful number, since it uses less digits than its factorization.

2434373136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433501 (or 433489 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 2434373136 is about 49339.3670003984. The cubic root of 2434373136 is about 1345.2274341653.

It can be divided in two parts, 24343 and 73136, that added together give a palindrome (97479).

The spelling of 2434373136 in words is "two billion, four hundred thirty-four million, three hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 433471 866942 1300413 1733884 2600826 3467768 3901239 5201652 5635123 6935536 7802478 10403304 11270246 11703717 15604956 16905369 20806608 22540492 23407434 31209912 33810738 45080984 46814868 50716107 62419824 67621476 90161968 93629736 101432214 135242952 152148321 187259472 202864428 270485904 304296642 405728856 608593284 811457712 1217186568 2434373136