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2325392316 = 2232136774161
BaseRepresentation
bin1000101010011010…
…1010101110111100
320000001122011120100
42022212222232330
514230300023231
61022425121100
7111424336302
oct21246525674
96001564510
102325392316
11a93694735
1254a929190
132b09c5ab0
14180b9c272
15d923a1e6
hex8a9aabbc

2325392316 has 72 divisors (see below), whose sum is σ = 6424802384. Its totient is φ = 704816640.

The previous prime is 2325392291. The next prime is 2325392323. The reversal of 2325392316 is 6132935232.

2325392316 is a `hidden beast` number, since 2 + 3 + 253 + 92 + 316 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5725 + ... + 68436.

Almost surely, 22325392316 is an apocalyptic number.

2325392316 is a gapful number since it is divisible by the number (26) 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 2325392316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212401192).

2325392316 is an abundant number, since it is smaller than the sum of its proper divisors (4099410068).

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

2325392316 is a wasteful number, since it uses less digits than its factorization.

2325392316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74251 (or 74246 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 2325392316 is about 48222.3217607780. The cubic root of 2325392316 is about 1324.8460371241.

The spelling of 2325392316 in words is "two billion, three hundred twenty-five million, three hundred ninety-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 7839 10452 15678 31356 74161 148322 222483 296644 444966 667449 889932 964093 1334898 1928186 2669796 2892279 3856372 4968787 5784558 8676837 9937574 11569116 14906361 17353674 19875148 29812722 34707348 44719083 59625444 64594231 89438166 129188462 178876332 193782693 258376924 387565386 581348079 775130772 1162696158 2325392316