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340340214340 = 2257219292812243
BaseRepresentation
bin1001111001111011101…
…10111000101001000100
31012112110220011020120201
410330331312320221010
521034004043324330
6420203343540244
733405643042600
oct4747566705104
91175426136521
10340340214340
111213791a6415
1255b632ba684
132612b51c219
1412688990500
158cbde99eca
hex4f3ddb8a44

340340214340 has 288 divisors, whose sum is σ = 908965411200. Its totient is φ = 106307389440.

The previous prime is 340340214271. The next prime is 340340214343. The reversal of 340340214340 is 43412043043.

It is a super-2 number, since 2×3403402143402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 340340214299 and 340340214308.

It is not an unprimeable number, because it can be changed into a prime (340340214343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151733259 + ... + 151735501.

It is an arithmetic number, because the mean of its divisors is an integer number (3156129900).

Almost surely, 2340340214340 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 340340214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454482705600).

340340214340 is an abundant number, since it is smaller than the sum of its proper divisors (568625196860).

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

340340214340 is a wasteful number, since it uses less digits than its factorization.

340340214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 340340214340 its reverse (43412043043), we get a palindrome (383752257383).

The spelling of 340340214340 in words is "three hundred forty billion, three hundred forty million, two hundred fourteen thousand, three hundred forty".