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34421112 = 2334112439
BaseRepresentation
bin1000001101001…
…1100101111000
32101202202220000
42003103211320
532302433422
63225433000
7565401045
oct203234570
971682800
1034421112
1118480100
12b63b760
13719242b
1448001cc
15304dcac
hex20d3978

34421112 has 120 divisors (see below), whose sum is σ = 106213800. Its totient is φ = 10406880.

The previous prime is 34421111. The next prime is 34421119. The reversal of 34421112 is 21112443.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421111) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78189 + ... + 78627.

It is an arithmetic number, because the mean of its divisors is an integer number (885115).

Almost surely, 234421112 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 34421112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53106900).

34421112 is an abundant number, since it is smaller than the sum of its proper divisors (71792688).

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

34421112 is a wasteful number, since it uses less digits than its factorization.

34421112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 455 counting only the distinct ones).

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

The square root of 34421112 is about 5866.9508264515. The cubic root of 34421112 is about 325.2931855337.

Adding to 34421112 its reverse (21112443), we get a palindrome (55533555).

It can be divided in two parts, 3442 and 1112, that added together give a palindrome (4554).

The spelling of 34421112 in words is "thirty-four million, four hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 439 484 594 648 726 792 878 891 968 1089 1188 1317 1452 1756 1782 2178 2376 2634 2904 3267 3512 3564 3951 4356 4829 5268 6534 7128 7902 8712 9658 9801 10536 11853 13068 14487 15804 19316 19602 23706 26136 28974 31608 35559 38632 39204 43461 47412 53119 57948 71118 78408 86922 94824 106238 115896 130383 142236 159357 173844 212476 260766 284472 318714 347688 391149 424952 478071 521532 637428 782298 956142 1043064 1274856 1434213 1564596 1912284 2868426 3129192 3824568 4302639 5736852 8605278 11473704 17210556 34421112