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34204403112 = 233117913711971
BaseRepresentation
bin11111110110101111…
…011100010110101000
310021021202121201011220
4133312233130112220
51030022311344422
623414023022040
72320421425605
oct376657342650
9107252551156
1034204403112
1113562548350
126766b9a920
1332c1452ca9
1419269a96ac
15d52cc7e5c
hex7f6bdc5a8

34204403112 has 128 divisors (see below), whose sum is σ = 95163033600. Its totient is φ = 10158220800.

The previous prime is 34204403111. The next prime is 34204403113. The reversal of 34204403112 is 21130440243.

It is an interprime number because it is at equal distance from previous prime (34204403111) and next prime (34204403113).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34204403111) 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, 2851287 + ... + 2863257.

It is an arithmetic number, because the mean of its divisors is an integer number (743461200).

Almost surely, 234204403112 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 34204403112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47581516800).

34204403112 is an abundant number, since it is smaller than the sum of its proper divisors (60958630488).

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

34204403112 is a wasteful number, since it uses less digits than its factorization.

34204403112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12203 counting only the distinct ones).

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

Adding to 34204403112 its reverse (21130440243), we get a palindrome (55334843355).

The spelling of 34204403112 in words is "thirty-four billion, two hundred four million, four hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 137 158 237 264 274 316 411 474 548 632 822 869 948 1096 1507 1644 1738 1896 2607 3014 3288 3476 4521 5214 6028 6952 9042 10428 10823 11971 12056 18084 20856 21646 23942 32469 35913 36168 43292 47884 64938 71826 86584 95768 119053 129876 131681 143652 238106 259752 263362 287304 357159 395043 476212 526724 714318 790086 945709 952424 1053448 1428636 1580172 1640027 1891418 2837127 2857272 3160344 3280054 3782836 4920081 5674254 6560108 7565672 9840162 10402799 11348508 13120216 18040297 19680324 20805598 22697016 31208397 36080594 39360648 41611196 54120891 62416794 72161188 83222392 108241782 124833588 129562133 144322376 216483564 249667176 259124266 388686399 432967128 518248532 777372798 1036497064 1425183463 1554745596 2850366926 3109491192 4275550389 5700733852 8551100778 11401467704 17102201556 34204403112