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338303232 = 2832146833
BaseRepresentation
bin10100001010100…
…001100100000000
3212120120120210100
4110022201210000
51143101200412
653323002400
711245346541
oct2412414400
9776516710
10338303232
11163a66253
1295369400
135511c237
1432d044c8
151ea77edc
hex142a1900

338303232 has 54 divisors (see below), whose sum is σ = 975418262. Its totient is φ = 112766976.

The previous prime is 338303209. The next prime is 338303239. The reversal of 338303232 is 232303833.

338303232 is a `hidden beast` number, since 338 + 3 + 0 + 323 + 2 = 666.

338303232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 337971456 + 331776 = 18384^2 + 576^2 .

It is a super-2 number, since 2×3383032322 = 228898153563291648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338303196 and 338303205.

It is not an unprimeable number, because it can be changed into a prime (338303239) 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, 71113 + ... + 75720.

Almost surely, 2338303232 is an apocalyptic number.

338303232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338303232 is an abundant number, since it is smaller than the sum of its proper divisors (637115030).

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

338303232 is a wasteful number, since it uses less digits than its factorization.

338303232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146855 (or 146838 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 338303232 is about 18393.0212852593. The cubic root of 338303232 is about 696.7902241367.

The spelling of 338303232 in words is "three hundred thirty-eight million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 146833 293666 440499 587332 880998 1174664 1321497 1761996 2349328 2642994 3523992 4698656 5285988 7047984 9397312 10571976 14095968 18794624 21143952 28191936 37589248 42287904 56383872 84575808 112767744 169151616 338303232