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34129512 = 2334311699
BaseRepresentation
bin1000001000110…
…0011001101000
32101012221220000
42002030121220
532214121022
63215303000
7563044644
oct202143150
971187800
1034129512
11182a100a
12b51aa60
1370bc7a1
144765c24
152ee26ac
hex208c668

34129512 has 80 divisors (see below), whose sum is σ = 98736000. Its totient is φ = 11003040.

The previous prime is 34129499. The next prime is 34129531. The reversal of 34129512 is 21592143.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19239 + ... + 20937.

It is an arithmetic number, because the mean of its divisors is an integer number (1234200).

Almost surely, 234129512 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 34129512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368000).

34129512 is an abundant number, since it is smaller than the sum of its proper divisors (64606488).

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

34129512 is a wasteful number, since it uses less digits than its factorization.

34129512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1735 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 34129512 is about 5842.0469015577. The cubic root of 34129512 is about 324.3720007073.

The spelling of 34129512 in words is "thirty-four million, one hundred twenty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 1699 2232 2511 3348 3398 5022 5097 6696 6796 10044 10194 13592 15291 20088 20388 30582 40776 45873 52669 61164 91746 105338 122328 137619 158007 183492 210676 275238 316014 366984 421352 474021 550476 632028 948042 1100952 1264056 1422063 1896084 2844126 3792168 4266189 5688252 8532378 11376504 17064756 34129512