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20340434322234 = 2361317711018803
BaseRepresentation
bin1001001111111111000000…
…10111001100001100111010
32200000112012211200221000000
410213333200113030030322
510131224202141302414
6111132133323053430
74166355632016525
oct447774027141472
980015184627000
1020340434322234
1165323699a0074
122346142371276
13b471301628b0
145046a7507bbc
1525417c21eb09
hex127fe05cc33a

20340434322234 has 448 divisors, whose sum is σ = 53426246001408. Its totient is φ = 5749325568000.

The previous prime is 20340434322209. The next prime is 20340434322259. The reversal of 20340434322234 is 43222343404302.

20340434322234 is a `hidden beast` number, since 2 + 0 + 340 + 43 + 43 + 2 + 2 + 234 = 666.

It is an interprime number because it is at equal distance from previous prime (20340434322209) and next prime (20340434322259).

It is a super-2 number, since 2×203404343222342 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2310620877 + ... + 2310629679.

It is an arithmetic number, because the mean of its divisors is an integer number (119255013396).

Almost surely, 220340434322234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20340434322234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26713123000704).

20340434322234 is an abundant number, since it is smaller than the sum of its proper divisors (33085811679174).

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

20340434322234 is a wasteful number, since it uses less digits than its factorization.

20340434322234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9010 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 20340434322234 its reverse (43222343404302), we get a palindrome (63562777726536).

The spelling of 20340434322234 in words is "twenty trillion, three hundred forty billion, four hundred thirty-four million, three hundred twenty-two thousand, two hundred thirty-four".