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3423593088 = 27335318691
BaseRepresentation
bin1100110000001111…
…1110001010000000
322211121002112211000
43030003332022000
524002414434323
61323415252000
7150561026646
oct31403761200
98747075730
103423593088
1114a7590183
127b667a000
13427396836
1424698d196
15150867e43
hexcc0fe280

3423593088 has 128 divisors (see below), whose sum is σ = 10295553600. Its totient is φ = 1119605760.

The previous prime is 3423593087. The next prime is 3423593113. The reversal of 3423593088 is 8803953243.

3423593088 is a `hidden beast` number, since 34 + 23 + 593 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3423593087) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173823 + ... + 192513.

Almost surely, 23423593088 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 3423593088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147776800).

3423593088 is an abundant number, since it is smaller than the sum of its proper divisors (6871960512).

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

3423593088 is a wasteful number, since it uses less digits than its factorization.

3423593088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18767 (or 18749 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3423593088 is about 58511.4782585434. The cubic root of 3423593088 is about 1507.1646995668.

The spelling of 3423593088 in words is "three billion, four hundred twenty-three million, five hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 384 424 432 477 576 636 848 864 954 1152 1272 1431 1696 1728 1908 2544 2862 3392 3456 3816 5088 5724 6784 7632 10176 11448 15264 18691 20352 22896 30528 37382 45792 56073 61056 74764 91584 112146 149528 168219 183168 224292 299056 336438 448584 504657 598112 672876 897168 990623 1009314 1196224 1345752 1794336 1981246 2018628 2392448 2691504 2971869 3588672 3962492 4037256 5383008 5943738 7177344 7924984 8074512 8915607 10766016 11887476 15849968 16149024 17831214 21532032 23774952 26746821 31699936 32298048 35662428 47549904 53493642 63399872 64596096 71324856 95099808 106987284 126799744 142649712 190199616 213974568 285299424 380399232 427949136 570598848 855898272 1141197696 1711796544 3423593088