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332080720 = 24517244177
BaseRepresentation
bin10011110010110…
…010011001010000
3212010212110002221
4103302302121100
51140003040340
652541350424
711141432236
oct2362623120
9763773087
10332080720
111604a6184
1293268414
1353a50b8a
1432164956
151e24944a
hex13cb2650

332080720 has 40 divisors (see below), whose sum is σ = 817507944. Its totient is φ = 125018112.

The previous prime is 332080699. The next prime is 332080729. The reversal of 332080720 is 27080233.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10810944 + 321269776 = 3288^2 + 17924^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3320807202 = 220555209191436800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332080729) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 120729 + ... + 123448.

Almost surely, 2332080720 is an apocalyptic number.

It is an amenable number.

332080720 is an abundant number, since it is smaller than the sum of its proper divisors (485427224).

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

332080720 is a wasteful number, since it uses less digits than its factorization.

332080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244207 (or 244201 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 332080720 is about 18223.0820664343. The cubic root of 332080720 is about 692.4916705850.

The spelling of 332080720 in words is "three hundred thirty-two million, eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 244177 488354 976708 1220885 1953416 2441770 3906832 4151009 4883540 8302018 9767080 16604036 19534160 20755045 33208072 41510090 66416144 83020180 166040360 332080720