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332408385 = 32522932257
BaseRepresentation
bin10011110100000…
…010011001000001
3212011111002120200
4103310002121001
51140044032020
652552355413
711144265441
oct2364023101
9764432520
10332408385
111606aa381
12933a5b69
1353b3706a
143220c121
151e2b1590
hex13d02641

332408385 has 24 divisors (see below), whose sum is σ = 578708520. Its totient is φ = 176504832.

The previous prime is 332408383. The next prime is 332408387. The reversal of 332408385 is 583804233.

332408385 is a `hidden beast` number, since 33 + 240 + 8 + 385 = 666.

It is an interprime number because it is at equal distance from previous prime (332408383) and next prime (332408387).

It can be written as a sum of positive squares in 4 ways, for example, as 64496961 + 267911424 = 8031^2 + 16368^2 .

It is not a de Polignac number, because 332408385 - 21 = 332408383 is a prime.

It is a super-2 number, since 2×3324083852 = 220990668836616450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332408383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5824 + ... + 26433.

It is an arithmetic number, because the mean of its divisors is an integer number (24112855).

Almost surely, 2332408385 is an apocalyptic number.

It is an amenable number.

332408385 is a deficient number, since it is larger than the sum of its proper divisors (246300135).

332408385 is a wasteful number, since it uses less digits than its factorization.

332408385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32497 (or 32494 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 332408385 is about 18232.0702335198. The cubic root of 332408385 is about 692.7193568884.

The spelling of 332408385 in words is "three hundred thirty-two million, four hundred eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 229 687 1145 2061 3435 10305 32257 96771 161285 290313 483855 1451565 7386853 22160559 36934265 66481677 110802795 332408385