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3245631642 = 23211219107733
BaseRepresentation
bin1100000101110100…
…0110100010011010
322101012020011121100
43001131012202122
523121340203032
61254021052230
7143300261631
oct30135064232
98335204540
103245631642
111416090100
12766b57076
133c95577c6
1422b0a6518
1513ee1397c
hexc174689a

3245631642 has 144 divisors (see below), whose sum is σ = 8223677280. Its totient is φ = 921792960.

The previous prime is 3245631617. The next prime is 3245631643. The reversal of 3245631642 is 2461365423.

3245631642 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 6 + 3 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3245631597 and 3245631606.

It is not an unprimeable number, because it can be changed into a prime (3245631643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4427508 + ... + 4428240.

It is an arithmetic number, because the mean of its divisors is an integer number (57108870).

Almost surely, 23245631642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245631642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111838640).

3245631642 is an abundant number, since it is smaller than the sum of its proper divisors (4978045638).

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

3245631642 is a wasteful number, since it uses less digits than its factorization.

3245631642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

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

The square root of 3245631642 is about 56970.4453379118. The cubic root of 3245631642 is about 1480.5840831326.

The spelling of 3245631642 in words is "three billion, two hundred forty-five million, six hundred thirty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 107 114 121 171 198 209 214 242 321 342 363 418 627 642 726 733 963 1089 1177 1254 1466 1881 1926 2033 2178 2199 2299 2354 3531 3762 4066 4398 4598 6099 6597 6897 7062 8063 10593 12198 12947 13194 13794 13927 16126 18297 20691 21186 22363 24189 25894 27854 36594 38841 41382 41781 44726 48378 67089 72567 77682 78431 83562 88693 116523 125343 134178 145134 153197 156862 177386 201267 233046 235293 245993 250686 266079 306394 402534 459591 470586 491986 532158 705879 737979 798237 862741 919182 1378773 1411758 1475958 1490189 1596474 1685167 1725482 2213937 2588223 2757546 2980378 3370334 4427874 4470567 5055501 5176446 7764669 8941134 9490151 10111002 13411701 15166503 15529338 16392079 18980302 26823402 28470453 30333006 32784158 49176237 56940906 85411359 98352474 147528711 170822718 180312869 295057422 360625738 540938607 1081877214 1622815821 3245631642