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3404214045 = 3251737127947
BaseRepresentation
bin1100101011101000…
…0010111100011101
322210020121222202200
43022322002330131
523432434322140
61321444042113
7150234225201
oct31272027435
98706558680
103404214045
111497654441
127b0093339
1342336cc4b
14244186b01
1514dcdb030
hexcae82f1d

3404214045 has 96 divisors (see below), whose sum is σ = 6473945088. Its totient is φ = 1647765504.

The previous prime is 3404214031. The next prime is 3404214049. The reversal of 3404214045 is 5404124043.

It is a happy number.

3404214045 is a `hidden beast` number, since 3 + 404 + 214 + 0 + 45 = 666.

It is not a de Polignac number, because 3404214045 - 24 = 3404214029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404214049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3594262 + ... + 3595208.

It is an arithmetic number, because the mean of its divisors is an integer number (67436928).

Almost surely, 23404214045 is an apocalyptic number.

It is an amenable number.

3404214045 is a deficient number, since it is larger than the sum of its proper divisors (3069731043).

3404214045 is a wasteful number, since it uses less digits than its factorization.

3404214045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3404214045 is about 58345.6428964494. The cubic root of 3404214045 is about 1504.3155786135.

Adding to 3404214045 its reverse (5404124043), we get a palindrome (8808338088).

The spelling of 3404214045 in words is "three billion, four hundred four million, two hundred fourteen thousand, forty-five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 127 153 185 255 333 381 555 629 635 765 947 1143 1665 1887 1905 2159 2841 3145 4699 4735 5661 5715 6477 8523 9435 10795 14097 14205 16099 19431 23495 28305 32385 35039 42291 42615 48297 70485 79883 80495 97155 105117 120269 144891 175195 211455 239649 241485 315351 360807 399415 525585 595663 601345 718947 724455 1082421 1198245 1576755 1786989 1804035 2044573 2978315 3594735 4449953 5360967 5412105 6133719 8934945 10222865 13349859 18401157 22249765 26804835 30668595 40049577 66749295 75649201 92005785 200247885 226947603 378246005 680842809 1134738015 3404214045