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345331077 = 372131571151
BaseRepresentation
bin10100100101010…
…101010110000101
3220001210122011220
4110211111112011
51201401043302
654133350553
711362160100
oct2445252605
9801718156
10345331077
11167a26393
1297798459
1356710020
1433c13737
15204b54bc
hex14955585

345331077 has 48 divisors (see below), whose sum is σ = 580995072. Its totient is φ = 180835200.

The previous prime is 345331073. The next prime is 345331109. The reversal of 345331077 is 770133543.

It is a happy number.

345331077 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 345331077 - 22 = 345331073 is a prime.

345331077 is a modest number, since divided by 31077 gives 3453 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345331073) 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 47 ways as a sum of consecutive naturals, for example, 299452 + ... + 300602.

It is an arithmetic number, because the mean of its divisors is an integer number (12104064).

Almost surely, 2345331077 is an apocalyptic number.

It is an amenable number.

345331077 is a deficient number, since it is larger than the sum of its proper divisors (235663995).

345331077 is a wasteful number, since it uses less digits than its factorization.

345331077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 345331077 is about 18583.0857771254. The cubic root of 345331077 is about 701.5821878034.

It can be divided in two parts, 3453 and 31077, that multiplied together give a square (107308881 = 103592).

The spelling of 345331077 in words is "three hundred forty-five million, three hundred thirty-one thousand, seventy-seven".

Divisors: 1 3 7 13 21 39 49 91 147 157 273 471 637 1099 1151 1911 2041 3297 3453 6123 7693 8057 14287 14963 23079 24171 42861 44889 56399 100009 104741 169197 180707 300027 314223 542121 733187 1264949 2199561 2349191 3794847 7047573 8854643 16444337 26563929 49333011 115110359 345331077