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34343568 = 2433741277
BaseRepresentation
bin1000001100000…
…0101010010000
32101121211112000
42003000222100
532242443233
63224034000
7564626010
oct203005220
971554460
1034343568
1118427916
12b602900
13716604c
1447bdc40
153035d13
hex20c0a90

34343568 has 160 divisors (see below), whose sum is σ = 115825920. Its totient is φ = 9538560.

The previous prime is 34343557. The next prime is 34343581. The reversal of 34343568 is 86534343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123846 + ... + 124122.

It is an arithmetic number, because the mean of its divisors is an integer number (723912).

Almost surely, 234343568 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 34343568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57912960).

34343568 is an abundant number, since it is smaller than the sum of its proper divisors (81482352).

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

34343568 is a wasteful number, since it uses less digits than its factorization.

34343568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 34343568 is about 5860.3385567730. The cubic root of 34343568 is about 325.0487279995.

The spelling of 34343568 in words is "thirty-four million, three hundred forty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 277 287 328 336 369 378 432 492 504 554 574 656 738 756 831 861 984 1008 1107 1108 1148 1476 1512 1662 1722 1939 1968 2214 2216 2296 2493 2583 2952 3024 3324 3444 3878 4428 4432 4592 4986 5166 5817 5904 6648 6888 7479 7749 7756 8856 9972 10332 11357 11634 13296 13776 14958 15498 15512 17451 17712 19944 20664 22714 23268 29916 30996 31024 34071 34902 39888 41328 45428 46536 52353 59832 61992 68142 69804 79499 90856 93072 102213 104706 119664 123984 136284 139608 158998 181712 204426 209412 238497 272568 279216 306639 317996 408852 418824 476994 545136 613278 635992 715491 817704 837648 953988 1226556 1271984 1430982 1635408 1907976 2146473 2453112 2861964 3815952 4292946 4906224 5723928 8585892 11447856 17171784 34343568