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4331435000340 = 223573375688329
BaseRepresentation
bin111111000001111101101…
…001010000001000010100
3120100002012011010012110010
4333001331221100020110
51031431234330002330
613113500032200220
7624635666013000
oct77017551201024
916302164105403
104331435000340
11141aa51156998
1259b564999070
132555b63a3b56
1410d8dd30d700
1577a0d24d3b0
hex3f07da50214

4331435000340 has 192 divisors, whose sum is σ = 14525719488000. Its totient is φ = 963284216832.

The previous prime is 4331435000267. The next prime is 4331435000351. The reversal of 4331435000340 is 430005341334.

It is a super-3 number, since 3×43314350003403 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4331435000298 and 4331435000307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2082705 + ... + 3605624.

It is an arithmetic number, because the mean of its divisors is an integer number (75654789000).

Almost surely, 24331435000340 is an apocalyptic number.

It is an amenable number.

4331435000340 is an abundant number, since it is smaller than the sum of its proper divisors (10194284487660).

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

4331435000340 is a wasteful number, since it uses less digits than its factorization.

4331435000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688399 (or 5688383 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 4331435000340 in words is "four trillion, three hundred thirty-one billion, four hundred thirty-five million, three hundred forty", and thus it is an aban number.