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34122140 = 22513373547
BaseRepresentation
bin1000001000101…
…0100110011100
32101012120202222
42002022212130
532213402030
63215204512
7563014313
oct202124634
971176688
1034122140
1118296518
12b516738
1370b9320
14476327a
152ee03e5
hex208a99c

34122140 has 48 divisors (see below), whose sum is σ = 79276512. Its totient is φ = 12254976.

The previous prime is 34122139. The next prime is 34122161. The reversal of 34122140 is 4122143.

It is a congruent number.

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, 7847 + ... + 11393.

It is an arithmetic number, because the mean of its divisors is an integer number (1651594).

Almost surely, 234122140 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 34122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39638256).

34122140 is an abundant number, since it is smaller than the sum of its proper divisors (45154372).

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

34122140 is a wasteful number, since it uses less digits than its factorization.

34122140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34122140 is about 5841.4159242430. The cubic root of 34122140 is about 324.3486441610.

Adding to 34122140 its reverse (4122143), we get a palindrome (38244283).

The spelling of 34122140 in words is "thirty-four million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 3547 4810 7094 9620 14188 17735 35470 46111 70940 92222 131239 184444 230555 262478 461110 524956 656195 922220 1312390 1706107 2624780 3412214 6824428 8530535 17061070 34122140