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37328441 is a prime number
BaseRepresentation
bin1000111001100…
…1011000111001
32121020110222212
42032121120321
534024002231
63412024505
7632200163
oct216313071
977213885
1037328441
111a086457
1210602135
13796c847
144d59933
15342542b
hex2399639

37328441 has 2 divisors, whose sum is σ = 37328442. Its totient is φ = 37328440.

The previous prime is 37328419. The next prime is 37328443. The reversal of 37328441 is 14482373.

37328441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21160000 + 16168441 = 4600^2 + 4021^2 .

It is a cyclic number.

It is not a de Polignac number, because 37328441 - 214 = 37312057 is a prime.

Together with 37328443, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 37328398 and 37328407.

It is not a weakly prime, because it can be changed into another prime (37328443) 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 as a sum of consecutive naturals, namely, 18664220 + 18664221.

It is an arithmetic number, because the mean of its divisors is an integer number (18664221).

Almost surely, 237328441 is an apocalyptic number.

It is an amenable number.

37328441 is a deficient number, since it is larger than the sum of its proper divisors (1).

37328441 is an equidigital number, since it uses as much as digits as its factorization.

37328441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 32.

The square root of 37328441 is about 6109.7005654942. The cubic root of 37328441 is about 334.2052624524.

The spelling of 37328441 in words is "thirty-seven million, three hundred twenty-eight thousand, four hundred forty-one".