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34345512 = 2333295483
BaseRepresentation
bin1000001100000…
…1001000101000
32101121221012000
42003001020220
532243024022
63224051000
7564634455
oct203011050
971557160
1034345512
1118429323
12b603a60
137166bb6
1447c082c
1530366ac
hex20c1228

34345512 has 64 divisors (see below), whose sum is σ = 98712000. Its totient is φ = 11051712.

The previous prime is 34345511. The next prime is 34345547. The reversal of 34345512 is 21554343.

It is a super-2 number, since 2×343455122 = 2359228389084288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34345511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3523 + ... + 9005.

It is an arithmetic number, because the mean of its divisors is an integer number (1542375).

Almost surely, 234345512 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 34345512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49356000).

34345512 is an abundant number, since it is smaller than the sum of its proper divisors (64366488).

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

34345512 is a wasteful number, since it uses less digits than its factorization.

34345512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5517 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 34345512 is about 5860.5044151506. The cubic root of 34345512 is about 325.0548609558.

Adding to 34345512 its reverse (21554343), we get a palindrome (55899855).

The spelling of 34345512 in words is "thirty-four million, three hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 5483 6264 10966 16449 21932 32898 43864 49347 65796 98694 131592 148041 159007 197388 296082 318014 394776 477021 592164 636028 954042 1184328 1272056 1431063 1908084 2862126 3816168 4293189 5724252 8586378 11448504 17172756 34345512