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340876775040 = 2735409943313
BaseRepresentation
bin1001111010111011101…
…01101100111010000000
31012120212021210100111020
410331131311230322000
521041103423300130
6420332512145440
733425146531524
oct4753565547200
91176767710436
10340876775040
1112162406440a
1256092b38280
13261b5735569
14126d9d41d84
158d01135e10
hex4f5dd6ce80

340876775040 has 128 divisors (see below), whose sum is σ = 1086834888000. Its totient is φ = 90876198912.

The previous prime is 340876775039. The next prime is 340876775131. The reversal of 340876775040 is 40577678043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7848424 + ... + 7891736.

Almost surely, 2340876775040 is an apocalyptic number.

340876775040 is a gapful number since it is divisible by the number (30) 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 340876775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543417444000).

340876775040 is an abundant number, since it is smaller than the sum of its proper divisors (745958112960).

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

340876775040 is a wasteful number, since it uses less digits than its factorization.

340876775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47434 (or 47422 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 340876775040 in words is "three hundred forty billion, eight hundred seventy-six million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4099 8198 12297 16396 20495 24594 32792 40990 43313 49188 61485 65584 81980 86626 98376 122970 129939 131168 163960 173252 196752 216565 245940 259878 262336 327920 346504 393504 433130 491880 519756 524672 649695 655840 693008 787008 866260 983760 1039512 1299390 1311680 1386016 1574016 1732520 1967520 2079024 2598780 2623360 2772032 3465040 3935040 4158048 5197560 5544064 6930080 7870080 8316096 10395120 13860160 16632192 20790240 27720320 41580480 83160960 177539987 355079974 532619961 710159948 887699935 1065239922 1420319896 1775399870 2130479844 2663099805 2840639792 3550799740 4260959688 5326199610 5681279584 7101599480 8521919376 10652399220 11362559168 14203198960 17043838752 21304798440 22725118336 28406397920 34087677504 42609596880 56812795840 68175355008 85219193760 113625591680 170438387520 340876775040