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34022244340 = 2257714916971
BaseRepresentation
bin11111101011111000…
…100011111111110100
310020211001212002022201
4133223320203333310
51024134143304330
623343554434244
72313050206510
oct375370437764
9106731762281
1034022244340
1113479740807
126715b92984
1332927a4636
14190a70d140
15d41ce4eca
hex7ebe23ff4

34022244340 has 96 divisors (see below), whose sum is σ = 82983979008. Its totient is φ = 11475408000.

The previous prime is 34022244323. The next prime is 34022244353. The reversal of 34022244340 is 4344222043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34022244299 and 34022244308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4877055 + ... + 4884025.

It is an arithmetic number, because the mean of its divisors is an integer number (864416448).

Almost surely, 234022244340 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 34022244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41491989504).

34022244340 is an abundant number, since it is smaller than the sum of its proper divisors (48961734668).

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

34022244340 is a wasteful number, since it uses less digits than its factorization.

34022244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 34022244340 its reverse (4344222043), we get a palindrome (38366466383).

The spelling of 34022244340 in words is "thirty-four billion, twenty-two million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 491 497 710 982 994 1420 1964 1988 2455 2485 3437 4910 4970 6874 6971 9820 9940 13748 13942 17185 27884 34370 34855 34861 48797 68740 69710 69722 97594 139420 139444 174305 195188 243985 244027 348610 487970 488054 494941 697220 975940 976108 989882 1220135 1979764 2440270 2474705 3422761 3464587 4880540 4949410 6845522 6929174 9898820 13691044 13858348 17113805 17322935 23959327 34227610 34645870 47918654 68455220 69291740 95837308 119796635 239593270 243016031 479186540 486032062 972064124 1215080155 1701112217 2430160310 3402224434 4860320620 6804448868 8505561085 17011122170 34022244340