Search a number
-
+
3245269457346 = 237711483733841
BaseRepresentation
bin101111001110011001001…
…000100001100111000010
3102111020121102000122222220
4233032121020201213002
5411132302440113341
610522504535111510
7453314542150230
oct57163110414702
912436542018886
103245269457346
111041347006244
12444b56212596
131a7048826017
14b3101349950
155963c0d0a66
hex2f3992219c2

3245269457346 has 64 divisors (see below), whose sum is σ = 7527316801536. Its totient is φ = 913542739200.

The previous prime is 3245269457333. The next prime is 3245269457351. The reversal of 3245269457346 is 6437549625423.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3245269457346.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4055386 + ... + 4789226.

It is an arithmetic number, because the mean of its divisors is an integer number (117614325024).

Almost surely, 23245269457346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3245269457346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763658400768).

3245269457346 is an abundant number, since it is smaller than the sum of its proper divisors (4282047344190).

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

3245269457346 is a wasteful number, since it uses less digits than its factorization.

3245269457346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735407.

The product of its digits is 130636800, while the sum is 60.

The spelling of 3245269457346 in words is "three trillion, two hundred forty-five billion, two hundred sixty-nine million, four hundred fifty-seven thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 426 497 994 1483 1491 2966 2982 4449 8898 10381 20762 31143 62286 105293 210586 315879 631758 733841 737051 1467682 1474102 2201523 2211153 4403046 4422306 5136887 10273774 15410661 30821322 52102711 104205422 156308133 312616266 364718977 729437954 1088286203 1094156931 2176572406 2188313862 3264858609 6529717218 7618003421 15236006842 22854010263 45708020526 77268320413 154536640826 231804961239 463609922478 540878242891 1081756485782 1622634728673 3245269457346