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34103204324 = 22747131337587
BaseRepresentation
bin11111110000101101…
…011001100111100100
310021000201012021112122
4133300231121213210
51024320410014244
623400010005112
72315052311450
oct376055314744
9107021167478
1034103204324
1113510408192
126739116798
1332a64ac957
141917385660
15d48e881ee
hex7f0b599e4

34103204324 has 96 divisors (see below), whose sum is σ = 70517551104. Its totient is φ = 14129256960.

The previous prime is 34103204323. The next prime is 34103204339. The reversal of 34103204324 is 42340230143.

It is a junction number, because it is equal to n+sod(n) for n = 34103204293 and 34103204302.

It is not an unprimeable number, because it can be changed into a prime (34103204321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58097159 + ... + 58097745.

It is an arithmetic number, because the mean of its divisors is an integer number (734557824).

Almost surely, 234103204324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103204324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35258775552).

34103204324 is an abundant number, since it is smaller than the sum of its proper divisors (36414346780).

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

34103204324 is a wasteful number, since it uses less digits than its factorization.

34103204324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34103204324 its reverse (42340230143), we get a palindrome (76443434467).

The spelling of 34103204324 in words is "thirty-four billion, one hundred three million, two hundred four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 47 94 131 188 262 329 337 524 587 658 674 917 1174 1316 1348 1834 2348 2359 3668 4109 4718 6157 8218 9436 12314 15839 16436 24628 27589 31678 43099 44147 55178 63356 76897 86198 88294 110356 110873 153794 172396 176588 193123 197819 221746 307588 309029 386246 395638 443492 538279 618058 772492 791276 1076558 1236116 1384733 2074909 2153116 2769466 3614159 4149818 5538932 7228318 8299636 9297493 14456636 14524363 18594986 25299113 25914289 29048726 37189972 50598226 51828578 58097452 65082451 101196452 103657156 130164902 181400023 260329804 362800046 725600092 1217971583 2435943166 4871886332 8525801081 17051602162 34103204324