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2352431232 = 273214292
BaseRepresentation
bin1000110000110111…
…0100000010000000
320001221111212222200
42030031310002000
514304210244412
61025232433200
7112203223044
oct21415640200
96057455880
102352431232
11aa7982448
125579a8800
132b64a2058
141845da024
15db7cb9dc
hex8c374080

2352431232 has 72 divisors (see below), whose sum is σ = 6774106365. Its totient is φ = 783595008.

The previous prime is 2352431231. The next prime is 2352431243. The reversal of 2352431232 is 2321342532.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1766016576 + 586414656 = 42024^2 + 24216^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34296.

It is a junction number, because it is equal to n+sod(n) for n = 2352431196 and 2352431205.

It is not an unprimeable number, because it can be changed into a prime (2352431231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1645494 + ... + 1646922.

Almost surely, 22352431232 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 2352431232

2352431232 is an abundant number, since it is smaller than the sum of its proper divisors (4421675133).

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

2352431232 is an frugal number, since it uses more digits than its factorization.

2352431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 1434 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 2352431232 is about 48501.8683351477. The cubic root of 2352431232 is about 1329.9612237362.

Adding to 2352431232 its reverse (2321342532), we get a palindrome (4673773764).

It can be divided in two parts, 23524 and 31232, that added together give a square (54756 = 2342).

The spelling of 2352431232 in words is "two billion, three hundred fifty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1429 2858 4287 5716 8574 11432 12861 17148 22864 25722 34296 45728 51444 68592 91456 102888 137184 182912 205776 274368 411552 548736 823104 1646208 2042041 4084082 6126123 8168164 12252246 16336328 18378369 24504492 32672656 36756738 49008984 65345312 73513476 98017968 130690624 147026952 196035936 261381248 294053904 392071872 588107808 784143744 1176215616 2352431232