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331323345 = 33537113587
BaseRepresentation
bin10011101111111…
…001011111010001
3212002102222012000
4103233321133101
51134304321340
652513224213
711132126163
oct2357713721
9762388160
10331323345
11160029151
1292b62069
1353847222
1432008933
151e149d30
hex13bf97d1

331323345 has 64 divisors (see below), whose sum is σ = 611331840. Its totient is φ = 170118144.

The previous prime is 331323331. The next prime is 331323361. The reversal of 331323345 is 543323133.

It is a happy number.

331323345 is a `hidden beast` number, since 3 + 313 + 2 + 3 + 345 = 666.

It is not a de Polignac number, because 331323345 - 25 = 331323313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564142 + ... + 564728.

It is an arithmetic number, because the mean of its divisors is an integer number (9552060).

Almost surely, 2331323345 is an apocalyptic number.

It is an amenable number.

331323345 is a deficient number, since it is larger than the sum of its proper divisors (280008495).

331323345 is a wasteful number, since it uses less digits than its factorization.

331323345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 331323345 is about 18202.2895537897. The cubic root of 331323345 is about 691.9648156401.

Adding to 331323345 its reverse (543323133), we get a palindrome (874646478).

The spelling of 331323345 in words is "three hundred thirty-one million, three hundred twenty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 37 45 111 113 135 185 333 339 555 565 587 999 1017 1665 1695 1761 2935 3051 4181 4995 5085 5283 8805 12543 15255 15849 20905 21719 26415 37629 62715 65157 66331 79245 108595 112887 188145 195471 198993 325785 331655 564435 586413 596979 977355 994965 1790937 2454247 2932065 2984895 7362741 8954685 12271235 22088223 36813705 66264669 110441115 331323345