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323240032 = 2529212011
BaseRepresentation
bin10011010001000…
…100000001100000
3211112020021222001
4103101010001200
51130222140112
652024053344
711003331523
oct2321040140
9745207861
10323240032
11156508025
1290304254
1351c76bbb
1430d02bba
151d59ec57
hex13444060

323240032 has 36 divisors (see below), whose sum is σ = 659134476. Its totient is φ = 156033920.

The previous prime is 323240017. The next prime is 323240033. The reversal of 323240032 is 230042323.

It is a super-2 number, since 2×3232400322 = 208968236574722048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323239991 and 323240009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323240033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20907 + ... + 32917.

It is an arithmetic number, because the mean of its divisors is an integer number (18309291).

Almost surely, 2323240032 is an apocalyptic number.

323240032 is a gapful number since it is divisible by the number (32) 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 323240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329567238).

323240032 is an abundant number, since it is smaller than the sum of its proper divisors (335894444).

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

323240032 is a wasteful number, since it uses less digits than its factorization.

323240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12079 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 323240032 is about 17978.8773843085. The cubic root of 323240032 is about 686.2911212990.

Adding to 323240032 its reverse (230042323), we get a palindrome (553282355).

It can be divided in two parts, 3232 and 40032, that added together give a square (43264 = 2082).

The spelling of 323240032 in words is "three hundred twenty-three million, two hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 6728 12011 13456 24022 26912 48044 96088 192176 348319 384352 696638 1393276 2786552 5573104 10101251 11146208 20202502 40405004 80810008 161620016 323240032