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3383252172 = 22332921932
BaseRepresentation
bin1100100110101000…
…0101010011001100
322201210012000111000
43021222011103030
523412103032142
61315414500300
7146561111646
oct31152052314
98653160430
103383252172
111486837483
127a5064690
1341bc10a81
1424148b896
1514c04a14c
hexc9a854cc

3383252172 has 108 divisors (see below), whose sum is σ = 9131598840. Its totient is φ = 1083220992.

The previous prime is 3383252129. The next prime is 3383252179. The reversal of 3383252172 is 2712523833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3383252172 is a `hidden beast` number, since 3 + 38 + 32 + 521 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×33832521722 = 22892790518685435168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3383252179) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17529708 + ... + 17529900.

Almost surely, 23383252172 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 3383252172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565799420).

3383252172 is an abundant number, since it is smaller than the sum of its proper divisors (5748346668).

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

3383252172 is a wasteful number, since it uses less digits than its factorization.

3383252172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 227 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 3383252172 is about 58165.7302197780. The cubic root of 3383252172 is about 1501.2215489421.

The spelling of 3383252172 in words is "three billion, three hundred eighty-three million, two hundred fifty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 193 261 348 386 522 579 772 783 841 1044 1158 1566 1682 1737 2316 2523 3132 3364 3474 5046 5211 5597 6948 7569 10092 10422 11194 15138 16791 20844 22388 22707 30276 33582 37249 45414 50373 67164 74498 90828 100746 111747 148996 151119 162313 201492 223494 302238 324626 335241 446988 486939 604476 649252 670482 973878 1005723 1080221 1340964 1460817 1947756 2011446 2160442 2921634 3240663 4022892 4320884 4382451 5843268 6481326 8764902 9721989 12962652 17529804 19443978 29165967 31326409 38887956 58331934 62652818 93979227 116663868 125305636 187958454 281937681 375916908 563875362 845813043 1127750724 1691626086 3383252172