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2325676032 = 216323943
BaseRepresentation
bin1000101010011111…
…0000000000000000
320000002011120202100
42022213300000000
514230333113112
61022435150400
7111426630411
oct21247600000
96002146670
102325676032
11a93868909
1254aa45400
132b0a94c84
14180c33808
15d92942dc
hex8a9f0000

2325676032 has 102 divisors (see below), whose sum is σ = 6720272312. Its totient is φ = 775028736.

The previous prime is 2325676021. The next prime is 2325676049. The reversal of 2325676032 is 2306765232.

It is a happy number.

2325676032 is a `hidden beast` number, since 2 + 3 + 2 + 567 + 60 + 32 = 666.

It is a super-3 number, since 3×23256760323 (a number of 29 digits) contains 333 as substring.

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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 587853 + ... + 591795.

Almost surely, 22325676032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360136156).

2325676032 is an abundant number, since it is smaller than the sum of its proper divisors (4394596280).

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

2325676032 is an frugal number, since it uses more digits than its factorization.

2325676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2325676032 is about 48225.2634207425. The cubic root of 2325676032 is about 1324.8999154496.

The spelling of 2325676032 in words is "two billion, three hundred twenty-five million, six hundred seventy-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3943 4096 4608 6144 7886 8192 9216 11829 12288 15772 16384 18432 23658 24576 31544 32768 35487 36864 47316 49152 63088 65536 70974 73728 94632 98304 126176 141948 147456 189264 196608 252352 283896 294912 378528 504704 567792 589824 757056 1009408 1135584 1514112 2018816 2271168 3028224 4037632 4542336 6056448 8075264 9084672 12112896 16150528 18169344 24225792 32301056 36338688 48451584 64602112 72677376 96903168 129204224 145354752 193806336 258408448 290709504 387612672 581419008 775225344 1162838016 2325676032