Search a number
-
+
3245465106 = 2321361271839
BaseRepresentation
bin1100000101110001…
…1101111000010010
322101011220201011100
43001130131320102
523121314340411
61254013325230
7143265666252
oct30134357022
98334821140
103245465106
111415a86a74
12766a96816
133c94c9a70
1422b061962
1513edce456
hexc171de12

3245465106 has 96 divisors (see below), whose sum is σ = 7734504960. Its totient is φ = 977443200.

The previous prime is 3245465089. The next prime is 3245465147. The reversal of 3245465106 is 6015645423.

3245465106 is a `hidden beast` number, since 3 + 2 + 4 + 546 + 5 + 106 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3867835 + ... + 3868673.

It is an arithmetic number, because the mean of its divisors is an integer number (80567760).

Almost surely, 23245465106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245465106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867252480).

3245465106 is an abundant number, since it is smaller than the sum of its proper divisors (4489039854).

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

3245465106 is a wasteful number, since it uses less digits than its factorization.

3245465106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3245465106 is about 56968.9837192134. The cubic root of 3245465106 is about 1480.5587593749.

The spelling of 3245465106 in words is "three billion, two hundred forty-five million, four hundred sixty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 271 366 542 549 793 813 839 1098 1586 1626 1678 2379 2439 2517 3523 4758 4878 5034 7046 7137 7551 10569 10907 14274 15102 16531 21138 21814 31707 32721 33062 49593 51179 63414 65442 98163 99186 102358 148779 153537 196326 214903 227369 297558 307074 429806 454738 460611 644709 665327 682107 921222 1289418 1330654 1364214 1934127 1995981 2046321 2955797 3868254 3991962 4092642 5911594 5987943 8867391 11975886 13869509 17734782 26602173 27739018 41608527 53204346 83217054 124825581 180303617 249651162 360607234 540910851 1081821702 1622732553 3245465106