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2325741024 = 253311973967
BaseRepresentation
bin1000101010011111…
…1111110111100000
320000002021212220110
42022213333313200
514230342203044
61022440411320
7111430321035
oct21247776740
96002255813
102325741024
11a93902722
1254aa76b40
132b0ab8729
14180c4d38c
15d92a86b9
hex8a9ffde0

2325741024 has 96 divisors (see below), whose sum is σ = 6335594496. Its totient is φ = 746242560.

The previous prime is 2325741017. The next prime is 2325741139. The reversal of 2325741024 is 4201475232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2325740982 and 2325741000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 584289 + ... + 588255.

It is an arithmetic number, because the mean of its divisors is an integer number (65995776).

Almost surely, 22325741024 is an apocalyptic number.

2325741024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325741024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167797248).

2325741024 is an abundant number, since it is smaller than the sum of its proper divisors (4009853472).

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

2325741024 is a wasteful number, since it uses less digits than its factorization.

2325741024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2325741024 is about 48225.9372537227. The cubic root of 2325741024 is about 1324.9122569641.

The spelling of 2325741024 in words is "two billion, three hundred twenty-five million, seven hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 197 248 372 394 496 591 744 788 992 1182 1488 1576 2364 2976 3152 3967 4728 6107 6304 7934 9456 11901 12214 15868 18321 18912 23802 24428 31736 36642 47604 48856 63472 73284 95208 97712 122977 126944 146568 190416 195424 245954 293136 368931 380832 491908 586272 737862 781499 983816 1475724 1562998 1967632 2344497 2951448 3125996 3935264 4688994 5902896 6251992 9377988 11805792 12503984 18755976 24226469 25007968 37511952 48452938 72679407 75023904 96905876 145358814 193811752 290717628 387623504 581435256 775247008 1162870512 2325741024