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34223353052 = 22719228112049
BaseRepresentation
bin11111110111110111…
…101110110011011100
310021100002021110121112
4133313313232303130
51030042134244202
623415541121152
72321041462340
oct376767566334
9107302243545
1034223353052
1113572210759
1267713b91b8
1332c5359485
1419292dd620
15d547bcb52
hex7f7deecdc

34223353052 has 72 divisors (see below), whose sum is σ = 72501861600. Its totient is φ = 13844597760.

The previous prime is 34223353049. The next prime is 34223353057. The reversal of 34223353052 is 25035332243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34223353057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2834324 + ... + 2846372.

It is an arithmetic number, because the mean of its divisors is an integer number (1006970300).

Almost surely, 234223353052 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 34223353052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36250930800).

34223353052 is an abundant number, since it is smaller than the sum of its proper divisors (38278508548).

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

34223353052 is a wasteful number, since it uses less digits than its factorization.

34223353052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12379 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 32.

Adding to 34223353052 its reverse (25035332243), we get a palindrome (59258685295).

The spelling of 34223353052 in words is "thirty-four billion, two hundred twenty-three million, three hundred fifty-three thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 281 361 532 562 722 1124 1444 1967 2527 3934 5054 5339 7868 10108 10678 12049 21356 24098 37373 48196 74746 84343 101441 149492 168686 202882 228931 337372 405764 457862 710087 915724 1420174 1602517 2840348 3205034 3385769 4349689 6410068 6771538 8699378 13543076 17398756 23700383 30447823 47400766 60895646 64329611 94801532 121791292 128659222 257318444 450307277 900614554 1222262609 1801229108 2444525218 4889050436 8555838263 17111676526 34223353052