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34222301344 = 25711107129803
BaseRepresentation
bin11111110111110011…
…101110000010100000
310021100000022000221101
4133313303232002200
51030041402120334
623415502404144
72321026522210
oct376763560240
9107300260841
1034222301344
1113571662580
126770b90654
1332c507b86a
141929108240
15d54661214
hex7f7cee0a0

34222301344 has 96 divisors (see below), whose sum is σ = 84785895936. Its totient is φ = 13208651520.

The previous prime is 34222301251. The next prime is 34222301363. The reversal of 34222301344 is 44310322243.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198747 + ... + 328549.

It is an arithmetic number, because the mean of its divisors is an integer number (883186416).

Almost surely, 234222301344 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 34222301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42392947968).

34222301344 is an abundant number, since it is smaller than the sum of its proper divisors (50563594592).

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

34222301344 is a wasteful number, since it uses less digits than its factorization.

34222301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129938 (or 129930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34222301344 its reverse (44310322243), we get a palindrome (78532623587).

The spelling of 34222301344 in words is "thirty-four billion, two hundred twenty-two million, three hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 107 112 154 176 214 224 308 352 428 616 749 856 1177 1232 1498 1712 2354 2464 2996 3424 4708 5992 8239 9416 11984 16478 18832 23968 32956 37664 65912 129803 131824 259606 263648 519212 908621 1038424 1427833 1817242 2076848 2855666 3634484 4153696 5711332 7268968 9994831 11422664 13888921 14537936 19989662 22845328 27777842 29075872 39979324 45690656 55555684 79958648 97222447 111111368 152778131 159917296 194444894 222222736 305556262 319834592 388889788 444445472 611112524 777779576 1069446917 1222225048 1555559152 2138893834 2444450096 3111118304 4277787668 4888900192 8555575336 17111150672 34222301344