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2434023240 = 23351110118257
BaseRepresentation
bin1001000100010100…
…0011111101001000
320021122001012011220
42101011003331020
514441102220430
61041305322040
7114213566445
oct22105037510
96248035156
102434023240
111039a40760
1257b196320
132ca36bc4c
141913989cc
15e3a47110
hex91143f48

2434023240 has 128 divisors (see below), whose sum is σ = 8045205120. Its totient is φ = 584192000.

The previous prime is 2434023227. The next prime is 2434023283. The reversal of 2434023240 is 423204342.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2434023240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124192 + ... + 142448.

It is an arithmetic number, because the mean of its divisors is an integer number (62853165).

Almost surely, 22434023240 is an apocalyptic number.

2434023240 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 2434023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022602560).

2434023240 is an abundant number, since it is smaller than the sum of its proper divisors (5611181880).

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

2434023240 is a wasteful number, since it uses less digits than its factorization.

2434023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18379 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2434023240 is about 49335.8210634018. The cubic root of 2434023240 is about 1345.1629805771.

Adding to 2434023240 its reverse (423204342), we get a palindrome (2857227582).

It can be divided in two parts, 243402 and 3240, that added together give a palindrome (246642).

The spelling of 2434023240 in words is "two billion, four hundred thirty-four million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 18257 22220 26664 33330 36514 44440 54771 66660 73028 91285 109542 133320 146056 182570 200827 219084 273855 365140 401654 438168 547710 602481 730280 803308 1004135 1095420 1204962 1606616 1843957 2008270 2190840 2409924 3012405 3687914 4016540 4819848 5531871 6024810 7375828 8033080 9219785 11063742 12049620 14751656 18439570 20283527 22127484 24099240 27659355 36879140 40567054 44254968 55318710 60850581 73758280 81134108 101417635 110637420 121701162 162268216 202835270 221274840 243402324 304252905 405670540 486804648 608505810 811341080 1217011620 2434023240