Search a number
-
+
34284222 = 23473617
BaseRepresentation
bin1000001011001…
…0001010111110
32101111211010000
42002302022332
532234043342
63222455130
7564261000
oct202621276
971454100
1034284222
1118397275
12b5944a6
13714502b
1447a6370
15302344c
hex20b22be

34284222 has 80 divisors (see below), whose sum is σ = 89733600. Its totient is φ = 9779616.

The previous prime is 34284209. The next prime is 34284259. The reversal of 34284222 is 22248243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55258 + ... + 55874.

It is an arithmetic number, because the mean of its divisors is an integer number (1121670).

Almost surely, 234284222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34284222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44866800).

34284222 is an abundant number, since it is smaller than the sum of its proper divisors (55449378).

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

34284222 is an equidigital number, since it uses as much as digits as its factorization.

34284222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 629 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 34284222 is about 5855.2730081526. The cubic root of 34284222 is about 324.8613909918.

The spelling of 34284222 in words is "thirty-four million, two hundred eighty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 617 686 882 1029 1134 1234 1323 1851 2058 2646 3087 3702 3969 4319 5553 6174 7938 8638 9261 11106 12957 16659 18522 25914 27783 30233 33318 38871 49977 55566 60466 77742 90699 99954 116613 181398 211631 233226 272097 349839 423262 544194 634893 699678 816291 1269786 1632582 1904679 2448873 3809358 4897746 5714037 11428074 17142111 34284222