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34311222 = 23311471229
BaseRepresentation
bin1000001011100…
…0110000110110
32101120012011000
42002320300312
532240424342
63223224130
7564432501
oct202706066
971505130
1034311222
1118405590
12b5a8046
1371543ca
1447b2138
15302b44c
hex20b8c36

34311222 has 64 divisors (see below), whose sum is σ = 85017600. Its totient is φ = 10167840.

The previous prime is 34311163. The next prime is 34311223. The reversal of 34311222 is 22211343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34311195 and 34311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27304 + ... + 28532.

It is an arithmetic number, because the mean of its divisors is an integer number (1328400).

Almost surely, 234311222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34311222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42508800).

34311222 is an abundant number, since it is smaller than the sum of its proper divisors (50706378).

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

34311222 is a wasteful number, since it uses less digits than its factorization.

34311222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 34311222 is about 5857.5781684925. The cubic root of 34311222 is about 324.9466484416.

Adding to 34311222 its reverse (22211343), we get a palindrome (56522565).

The spelling of 34311222 in words is "thirty-four million, three hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1229 1269 1551 2458 2538 3102 3687 4653 7374 9306 11061 13519 13959 22122 27038 27918 33183 40557 57763 66366 81114 115526 121671 173289 243342 346578 365013 519867 635393 730026 1039734 1270786 1559601 1906179 3119202 3812358 5718537 11437074 17155611 34311222