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34228312110 = 23256713214297
BaseRepresentation
bin11111111000001010…
…101001100000101110
310021100102121102011100
4133320022221200232
51030044421441420
623420235303530
72321131565256
oct377012514056
9107312542140
1034228312110
1113574a98553
126772baaba6
1332c63a4725
141929c30966
15d54e4c190
hex7f82a982e

34228312110 has 96 divisors (see below), whose sum is σ = 90411283872. Its totient is φ = 8982420480.

The previous prime is 34228312099. The next prime is 34228312123. The reversal of 34228312110 is 1121382243.

34228312110 is a `hidden beast` number, since 342 + 2 + 8 + 312 + 1 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7963482 + ... + 7967778.

It is an arithmetic number, because the mean of its divisors is an integer number (941784207).

Almost surely, 234228312110 is an apocalyptic number.

34228312110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34228312110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45205641936).

34228312110 is an abundant number, since it is smaller than the sum of its proper divisors (56182971762).

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

34228312110 is a wasteful number, since it uses less digits than its factorization.

34228312110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34228312110 its reverse (1121382243), we get a palindrome (35349694353).

The spelling of 34228312110 in words is "thirty-four billion, two hundred twenty-eight million, three hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1321 2010 2642 3015 3963 4297 6030 6605 7926 8594 11889 12891 13210 19815 21485 23778 25782 38673 39630 42970 59445 64455 77346 88507 118890 128910 177014 193365 265521 287899 386730 442535 531042 575798 796563 863697 885070 1327605 1439495 1593126 1727394 2591091 2655210 2878990 3982815 4318485 5182182 5676337 7965630 8636970 11352674 12955455 17029011 25910910 28381685 34058022 51087033 56763370 85145055 102174066 170290110 255435165 380314579 510870330 760629158 1140943737 1901572895 2281887474 3422831211 3803145790 5704718685 6845662422 11409437370 17114156055 34228312110