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340024052000 = 2553747711369
BaseRepresentation
bin1001111001010110000…
…00110100100100100000
31012111122212020112101102
410330223000310210200
521032332124131000
6420112131253532
733365053516523
oct4745300644440
91174585215342
10340024052000
11121226792a26
1255a9544a2a8
13260aab82a09
14126589b0bba
158ca13473d5
hex4f2b034920

340024052000 has 96 divisors (see below), whose sum is σ = 835624324080. Its totient is φ = 135979468800.

The previous prime is 340024051993. The next prime is 340024052023. The reversal of 340024052000 is 250420043.

It can be written as a sum of positive squares in 8 ways, for example, as 80050516624 + 259973535376 = 282932^2 + 509876^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 29902316 + ... + 29913684.

Almost surely, 2340024052000 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 340024052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417812162040).

340024052000 is an abundant number, since it is smaller than the sum of its proper divisors (495600272080).

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

340024052000 is a wasteful number, since it uses less digits than its factorization.

340024052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18871 (or 18853 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 340024052000 its reverse (250420043), we get a palindrome (340274472043).

The spelling of 340024052000 in words is "three hundred forty billion, twenty-four million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7477 11369 14954 22738 29908 37385 45476 56845 59816 74770 90952 113690 119632 149540 181904 186925 227380 239264 284225 299080 363808 373850 454760 568450 598160 747700 909520 934625 1136900 1196320 1421125 1495400 1819040 1869250 2273800 2842250 2990800 3738500 4547600 5684500 5981600 7477000 9095200 11369000 14954000 22738000 29908000 45476000 85006013 170012026 340024052 425030065 680048104 850060130 1360096208 1700120260 2125150325 2720192416 3400240520 4250300650 6800481040 8500601300 10625751625 13600962080 17001202600 21251503250 34002405200 42503006500 68004810400 85006013000 170012026000 340024052000