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343639923660 = 2233511297972503
BaseRepresentation
bin1010000000000101000…
…10010001101111001100
31012211222212010211211000
411000002202101233030
521112233310024120
6421511020100300
733553501104435
oct5000242215714
91184885124730
10343639923660
11122811861910
1256724394690
132653602c147
14128bccd248c
158e139e1990
hex5002891bcc

343639923660 has 384 divisors, whose sum is σ = 1208506521600. Its totient is φ = 80300989440.

The previous prime is 343639923647. The next prime is 343639923667. The reversal of 343639923660 is 66329936343.

It is a happy number.

343639923660 is a `hidden beast` number, since 3 + 436 + 39 + 92 + 36 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 343639923597 and 343639923606.

It is not an unprimeable number, because it can be changed into a prime (343639923667) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137289969 + ... + 137292471.

It is an arithmetic number, because the mean of its divisors is an integer number (3147152400).

Almost surely, 2343639923660 is an apocalyptic number.

343639923660 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 343639923660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604253260800).

343639923660 is an abundant number, since it is smaller than the sum of its proper divisors (864866597940).

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

343639923660 is a wasteful number, since it uses less digits than its factorization.

343639923660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 54.

The spelling of 343639923660 in words is "three hundred forty-three billion, six hundred thirty-nine million, nine hundred twenty-three thousand, six hundred sixty".