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338720436 = 223228333247
BaseRepresentation
bin10100001100000…
…111011010110100
3212121100210002100
4110030013122310
51143203023221
653335542100
711252035065
oct2414073264
9777323070
10338720436
1116422074a
129552a930
13552370c2
1432db256c
151eb0b926
hex143076b4

338720436 has 36 divisors (see below), whose sum is σ = 859261312. Its totient is φ = 112504464.

The previous prime is 338720423. The next prime is 338720441. The reversal of 338720436 is 634027833.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3387204362 = 229463067528060192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 338720436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6436 + ... + 26811.

Almost surely, 2338720436 is an apocalyptic number.

338720436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

338720436 is an abundant number, since it is smaller than the sum of its proper divisors (520540876).

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

338720436 is a wasteful number, since it uses less digits than its factorization.

338720436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33540 (or 33535 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 338720436 is about 18404.3591575474. The cubic root of 338720436 is about 697.0765395110.

The spelling of 338720436 in words is "three hundred thirty-eight million, seven hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 283 566 849 1132 1698 2547 3396 5094 10188 33247 66494 99741 132988 199482 299223 398964 598446 1196892 9408901 18817802 28226703 37635604 56453406 84680109 112906812 169360218 338720436