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340442430440 = 23571771521519
BaseRepresentation
bin1001111010000111111…
…00110011101111101000
31012112202000111100201012
410331003330303233220
521034211230233230
6420221434443052
733411323624660
oct4750374635750
91175660440635
10340442430440
11121420970932
1255b91593488
132614675a618
141269839b1a0
158cc7e3b395
hex4f43f33be8

340442430440 has 64 divisors (see below), whose sum is σ = 926918899200. Its totient is φ = 109857051648.

The previous prime is 340442430431. The next prime is 340442430443. The reversal of 340442430440 is 44034244043.

It is a junction number, because it is equal to n+sod(n) for n = 340442430397 and 340442430406.

It is not an unprimeable number, because it can be changed into a prime (340442430443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35756000 + ... + 35765519.

It is an arithmetic number, because the mean of its divisors is an integer number (14483107800).

Almost surely, 2340442430440 is an apocalyptic number.

It is an amenable number.

340442430440 is an abundant number, since it is smaller than the sum of its proper divisors (586476468760).

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

340442430440 is a wasteful number, since it uses less digits than its factorization.

340442430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71521554 (or 71521550 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 340442430440 its reverse (44034244043), we get a palindrome (384476674483).

The spelling of 340442430440 in words is "three hundred forty billion, four hundred forty-two million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 71521519 143043038 286086076 357607595 500650633 572172152 715215190 1001301266 1215865823 1430430380 2002602532 2431731646 2503253165 2860860760 4005205064 4863463292 5006506330 6079329115 8511060761 9726926584 10013012660 12158658230 17022121522 20026025320 24317316460 34044243044 42555303805 48634632920 68088486088 85110607610 170221215220 340442430440