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34463568 = 24319233153
BaseRepresentation
bin1000001101110…
…1111101010000
32101211221010110
42003131331100
532310313233
63230401320
7565635606
oct203357520
971757113
1034463568
11184a9a97
12b660240
1371a8859
144811876
15305b663
hex20ddf50

34463568 has 160 divisors (see below), whose sum is σ = 102850560. Its totient is φ = 9884160.

The previous prime is 34463557. The next prime is 34463581. The reversal of 34463568 is 86536443.

34463568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650230 + ... + 650282.

It is an arithmetic number, because the mean of its divisors is an integer number (642816).

Almost surely, 234463568 is an apocalyptic number.

34463568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34463568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51425280).

34463568 is an abundant number, since it is smaller than the sum of its proper divisors (68386992).

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

34463568 is a wasteful number, since it uses less digits than its factorization.

34463568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 34463568 is about 5870.5679452673. The cubic root of 34463568 is about 325.4268726075.

The spelling of 34463568 in words is "thirty-four million, four hundred sixty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 31 38 46 48 53 57 62 69 76 92 93 106 114 124 138 152 159 184 186 212 228 248 276 304 318 368 372 424 437 456 496 552 589 636 713 744 848 874 912 1007 1104 1178 1219 1272 1311 1426 1488 1643 1748 1767 2014 2139 2356 2438 2544 2622 2852 3021 3286 3496 3534 3657 4028 4278 4712 4876 4929 5244 5704 6042 6572 6992 7068 7314 8056 8556 9424 9752 9858 10488 11408 12084 13144 13547 14136 14628 16112 17112 19504 19716 20976 23161 24168 26288 27094 28272 29256 31217 34224 37789 39432 40641 46322 48336 54188 58512 62434 69483 75578 78864 81282 92644 93651 108376 113367 124868 138966 151156 162564 185288 187302 216752 226734 249736 277932 302312 325128 370576 374604 453468 499472 555864 604624 650256 717991 749208 906936 1111728 1435982 1498416 1813872 2153973 2871964 4307946 5743928 8615892 11487856 17231784 34463568