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1664304345 = 3251129269431
BaseRepresentation
bin110001100110011…
…0100010011011001
311021222200102100200
41203030310103121
511402030214340
6433051452413
756146232154
oct14314642331
94258612320
101664304345
11784502540
123a5457109
13206a5bc92
1411b072c9b
159b1a2330
hex633344d9

1664304345 has 96 divisors (see below), whose sum is σ = 3275251200. Its totient is φ = 774412800.

The previous prime is 1664304331. The next prime is 1664304353. The reversal of 1664304345 is 5434034661.

1664304345 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 304 + 345 = 666.

It is not a de Polignac number, because 1664304345 - 24 = 1664304329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3861280 + ... + 3861710.

It is an arithmetic number, because the mean of its divisors is an integer number (34117200).

Almost surely, 21664304345 is an apocalyptic number.

1664304345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1664304345 is a deficient number, since it is larger than the sum of its proper divisors (1610946855).

1664304345 is a wasteful number, since it uses less digits than its factorization.

1664304345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 1664304345 is about 40795.8863735058. The cubic root of 1664304345 is about 1185.0706682205.

It can be divided in two parts, 16 and 64304345, that added together give a square (64304361 = 80192).

The spelling of 1664304345 in words is "one billion, six hundred sixty-four million, three hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 87 99 145 165 261 269 319 431 435 495 807 957 1293 1305 1345 1595 2155 2421 2871 2959 3879 4035 4741 4785 6465 7801 8877 12105 12499 14223 14355 14795 19395 23403 23705 26631 37497 39005 42669 44385 62495 70209 71115 85811 112491 115939 117015 133155 137489 187485 213345 257433 347817 351045 412467 429055 562455 579695 687445 772299 1043451 1237401 1275329 1287165 1739085 2062335 3362231 3825987 3861495 5217255 6187005 6376645 10086693 11477961 16811155 19129935 30260079 36984541 50433465 57389805 110953623 151300395 184922705 332860869 554768115 1664304345