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34241112 = 23322322931
BaseRepresentation
bin1000001010011…
…1101001011000
32101102121222100
42002213221120
532231203422
63221523400
7564021213
oct202475130
971377870
1034241112
1118367944
12b573560
13712b519
14479477a
1530157ac
hex20a7a58

34241112 has 144 divisors (see below), whose sum is σ = 103521600. Its totient is φ = 10200960.

The previous prime is 34241107. The next prime is 34241113. The reversal of 34241112 is 21114243.

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 (34241113) 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 35 ways as a sum of consecutive naturals, for example, 1104537 + ... + 1104567.

It is an arithmetic number, because the mean of its divisors is an integer number (718900).

Almost surely, 234241112 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 34241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51760800).

34241112 is an abundant number, since it is smaller than the sum of its proper divisors (69280488).

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

34241112 is a wasteful number, since it uses less digits than its factorization.

34241112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

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

The square root of 34241112 is about 5851.5905530035. The cubic root of 34241112 is about 324.7251704229.

Adding to 34241112 its reverse (21114243), we get a palindrome (55355355).

The spelling of 34241112 in words is "thirty-four million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 31 36 46 58 62 69 72 87 92 93 116 124 138 174 184 186 207 232 248 261 276 279 348 372 414 522 529 552 558 667 696 713 744 828 899 1044 1058 1116 1334 1426 1587 1656 1798 2001 2088 2116 2139 2232 2668 2697 2852 3174 3596 4002 4232 4278 4761 5336 5394 5704 6003 6348 6417 7192 8004 8091 8556 9522 10788 12006 12696 12834 15341 16008 16182 16399 17112 19044 20677 21576 24012 25668 30682 32364 32798 38088 41354 46023 48024 49197 51336 61364 62031 64728 65596 82708 92046 98394 122728 124062 131192 138069 147591 165416 184092 186093 196788 248124 276138 295182 368184 372186 393576 475571 496248 552276 590364 744372 951142 1104552 1180728 1426713 1488744 1902284 2853426 3804568 4280139 5706852 8560278 11413704 17120556 34241112