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334304145 = 33571943433
BaseRepresentation
bin10011111011010…
…001001110010001
3212022001102002000
4103323101032101
51141040213040
653101144213
711166352440
oct2373211621
9768042060
10334304145
1116178471a
1293b5b069
135434bc06
1432582d57
151e538130
hex13ed1391

334304145 has 128 divisors (see below), whose sum is σ = 733286400. Its totient is φ = 141087744.

The previous prime is 334304143. The next prime is 334304153. The reversal of 334304145 is 541403433.

It is not a de Polignac number, because 334304145 - 21 = 334304143 is a prime.

It is a super-2 number, since 2×3343041452 = 223518522728362050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (334304143) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 771849 + ... + 772281.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2334304145 is an apocalyptic number.

334304145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

334304145 is an abundant number, since it is smaller than the sum of its proper divisors (398982255).

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

334304145 is a wasteful number, since it uses less digits than its factorization.

334304145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 334304145 is about 18283.9860260284. The cubic root of 334304145 is about 694.0337451444.

Adding to 334304145 its reverse (541403433), we get a palindrome (875707578).

The spelling of 334304145 in words is "three hundred thirty-four million, three hundred four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 43 45 57 63 95 105 129 133 135 171 189 215 285 301 315 387 399 433 513 645 665 817 855 903 945 1161 1197 1299 1505 1935 1995 2165 2451 2565 2709 3031 3591 3897 4085 4515 5719 5805 5985 6495 7353 8127 8227 9093 11691 12255 13545 15155 17157 17955 18619 19485 22059 24681 27279 28595 36765 40635 41135 45465 51471 55857 57589 58455 74043 81837 85785 93095 110295 123405 130333 136395 154413 167571 172767 222129 257355 279285 287945 353761 370215 390999 409185 502713 518301 651665 772065 837855 863835 1061283 1110645 1172997 1554903 1768805 1954995 2476327 2513565 2591505 3183849 3518991 5306415 5864985 7428981 7774515 9551547 12381635 15919245 17594955 22286943 37144905 47757735 66860829 111434715 334304145