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34422011340 = 223547151229353
BaseRepresentation
bin100000000011101101…
…100011010111001100
310021211221002100112220
4200003231203113030
51030444013330330
623451355055340
72326003161123
oct400355432714
9107757070486
1034422011340
1113664367662
126807a41550
133327563b62
141947852aba
15d66e5e710
hex803b635cc

34422011340 has 192 divisors, whose sum is σ = 99798773760. Its totient is φ = 8860262400.

The previous prime is 34422011317. The next prime is 34422011363. The reversal of 34422011340 is 4311022443.

It is an interprime number because it is at equal distance from previous prime (34422011317) and next prime (34422011363).

It is a self number, because there is not a number n which added to its sum of digits gives 34422011340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97512604 + ... + 97512956.

It is an arithmetic number, because the mean of its divisors is an integer number (519785280).

Almost surely, 234422011340 is an apocalyptic number.

34422011340 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 34422011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49899386880).

34422011340 is an abundant number, since it is smaller than the sum of its proper divisors (65376762420).

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

34422011340 is a wasteful number, since it uses less digits than its factorization.

34422011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34422011340 its reverse (4311022443), we get a palindrome (38733033783).

The spelling of 34422011340 in words is "thirty-four billion, four hundred twenty-two million, eleven thousand, three hundred forty".