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34122114 = 2331323739
BaseRepresentation
bin1000001000101…
…0100110000010
32101012120202000
42002022212002
532213401424
63215204430
7563014245
oct202124602
971176660
1034122114
11182964a4
12b516716
1370b9300
14476325c
152ee03c9
hex208a982

34122114 has 48 divisors (see below), whose sum is σ = 82130400. Its totient is φ = 10496304.

The previous prime is 34122107. The next prime is 34122131. The reversal of 34122114 is 41122143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7257 + ... + 10995.

It is an arithmetic number, because the mean of its divisors is an integer number (1711050).

Almost surely, 234122114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065200).

34122114 is an abundant number, since it is smaller than the sum of its proper divisors (48008286).

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

34122114 is a wasteful number, since it uses less digits than its factorization.

34122114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3757 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 34122114 is about 5841.4136987548. The cubic root of 34122114 is about 324.3485617799.

Adding to 34122114 its reverse (41122143), we get a palindrome (75244257).

The spelling of 34122114 in words is "thirty-four million, one hundred twenty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 3739 4563 7478 9126 11217 22434 33651 48607 67302 97214 100953 145821 201906 291642 437463 631891 874926 1263782 1312389 1895673 2624778 3791346 5687019 11374038 17061057 34122114