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3405332645 = 5112131725469
BaseRepresentation
bin1100101011111001…
…0100000010100101
322210022201211012022
43022332110002211
523433231121040
61321524032525
7150246564341
oct31276240245
98708654168
103405332645
111498248900
127b0532745
13423672140
14244398621
1514de5c6b5
hexcaf940a5

3405332645 has 48 divisors (see below), whose sum is σ = 5121915120. Its totient is φ = 2151536640.

The previous prime is 3405332633. The next prime is 3405332653. The reversal of 3405332645 is 5462335043.

It can be written as a sum of positive squares in 8 ways, for example, as 3876961 + 3401455684 = 1969^2 + 58322^2 .

It is not a de Polignac number, because 3405332645 - 220 = 3404284069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120971 + ... + 146439.

It is an arithmetic number, because the mean of its divisors is an integer number (106706565).

Almost surely, 23405332645 is an apocalyptic number.

It is an amenable number.

3405332645 is a deficient number, since it is larger than the sum of its proper divisors (1716582475).

3405332645 is a wasteful number, since it uses less digits than its factorization.

3405332645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25526 (or 25515 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The square root of 3405332645 is about 58355.2280862649. The cubic root of 3405332645 is about 1504.4803296257.

Adding to 3405332645 its reverse (5462335043), we get a palindrome (8867667688).

The spelling of 3405332645 in words is "three billion, four hundred five million, three hundred thirty-two thousand, six hundred forty-five".

Divisors: 1 5 11 13 17 55 65 85 121 143 187 221 605 715 935 1105 1573 2057 2431 7865 10285 12155 25469 26741 127345 133705 280159 331097 432973 1400795 1655485 2164865 3081749 3642067 4762703 5628649 15408745 18210335 23813515 28143245 40062737 52389733 61915139 200313685 261948665 309575695 681066529 3405332645