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34340021430 = 2351121323291091
BaseRepresentation
bin11111111110110100…
…110010010010110110
310021122012210211112120
4133332310302102312
51030312021141210
623435305500410
72323656236361
oct377664622266
9107565724476
1034340021430
1113622057400
1267a44a1706
133313587b10
14193a9cd0d8
15d5eb66270
hex7fed324b6

34340021430 has 384 divisors, whose sum is σ = 105406479360. Its totient is φ = 7090406400.

The previous prime is 34340021389. The next prime is 34340021447. The reversal of 34340021430 is 3412004343.

It is a self number, because there is not a number n which added to its sum of digits gives 34340021430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31475185 + ... + 31476275.

It is an arithmetic number, because the mean of its divisors is an integer number (274496040).

Almost surely, 234340021430 is an apocalyptic number.

34340021430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340021430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52703239680).

34340021430 is an abundant number, since it is smaller than the sum of its proper divisors (71066457930).

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

34340021430 is a wasteful number, since it uses less digits than its factorization.

34340021430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34340021430 its reverse (3412004343), we get a palindrome (37752025773).

The spelling of 34340021430 in words is "thirty-four billion, three hundred forty million, twenty-one thousand, four hundred thirty".