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34401342324 = 22317806920899
BaseRepresentation
bin100000000010011110…
…101101001101110100
310021210111012020222210
4200002132231031310
51030423220423244
623445340053420
72325332404446
oct400236551564
9107714166883
1034401342324
111365372a728
126800b34270
1333231a807b
141944bd2496
15d6522a4b9
hex8027ad374

34401342324 has 48 divisors (see below), whose sum is σ = 85006152000. Its totient is φ = 10790724096.

The previous prime is 34401342323. The next prime is 34401342383. The reversal of 34401342324 is 42324310443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34401342291 and 34401342300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401342323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635627 + ... + 1656525.

It is an arithmetic number, because the mean of its divisors is an integer number (1770961500).

Almost surely, 234401342324 is an apocalyptic number.

34401342324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34401342324 is an abundant number, since it is smaller than the sum of its proper divisors (50604809676).

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

34401342324 is a wasteful number, since it uses less digits than its factorization.

34401342324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28992 (or 28990 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34401342324 its reverse (42324310443), we get a palindrome (76725652767).

The spelling of 34401342324 in words is "thirty-four billion, four hundred one million, three hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 8069 16138 20899 24207 32276 41798 48414 62697 83596 96828 125394 137173 250788 274346 355283 411519 548692 710566 823038 1065849 1421132 1646076 2131698 4263396 168634031 337268062 505902093 674536124 1011804186 2023608372 2866778527 5733557054 8600335581 11467114108 17200671162 34401342324