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34322022 = 23372931101
BaseRepresentation
bin1000001011101…
…1011001100110
32101120201222000
42002323121212
532241301042
63223350130
7564506130
oct202733146
971521860
1034322022
1118412709
12b5b2346
1371592b7
1447b6050
15302e74c
hex20bb666

34322022 has 128 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 9072000.

The previous prime is 34322021. The next prime is 34322033. The reversal of 34322022 is 22022343.

34322022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 34321986 and 34322004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34322021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339772 + ... + 339872.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 234322022 is an apocalyptic number.

It is a pronic number, being equal to 5858×5859.

It is a practical number, because each smaller number is the sum of distinct divisors of 34322022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

34322022 is an abundant number, since it is smaller than the sum of its proper divisors (59681178).

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

34322022 is a wasteful number, since it uses less digits than its factorization.

34322022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34322022 is about 5858.4999786635. The cubic root of 34322022 is about 324.9807388980.

Adding to 34322022 its reverse (22022343), we get a palindrome (56344365).

The spelling of 34322022 in words is "thirty-four million, three hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 31 42 54 58 62 63 87 93 101 126 174 186 189 202 203 217 261 279 303 378 406 434 522 558 606 609 651 707 783 837 899 909 1218 1302 1414 1566 1674 1798 1818 1827 1953 2121 2697 2727 2929 3131 3654 3906 4242 5394 5454 5481 5858 5859 6262 6293 6363 8091 8787 9393 10962 11718 12586 12726 16182 17574 18786 18879 19089 20503 21917 24273 26361 28179 37758 38178 41006 43834 48546 52722 56358 56637 61509 65751 79083 84537 90799 113274 123018 131502 158166 169074 169911 181598 184527 197253 272397 339822 369054 394506 544794 553581 591759 635593 817191 1107162 1183518 1271186 1634382 1906779 2451573 3813558 4903146 5720337 11440674 17161011 34322022