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3405671712 = 253211825249
BaseRepresentation
bin1100101011111110…
…0110110100100000
322210100101001022100
43022333212310200
523433322443322
61321535210400
7150252506022
oct31277466440
98710331270
103405671712
11149845a623
127b0676a00
13423760581
14244446012
1514dec7dac
hexcafe6d20

3405671712 has 36 divisors (see below), whose sum is σ = 9684879750. Its totient is φ = 1135223808.

The previous prime is 3405671699. The next prime is 3405671713. The reversal of 3405671712 is 2171765043.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2822159376 + 583512336 = 53124^2 + 24156^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3405671713) 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 5 ways as a sum of consecutive naturals, for example, 5912337 + ... + 5912912.

Almost surely, 23405671712 is an apocalyptic number.

3405671712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3405671712 is an abundant number, since it is smaller than the sum of its proper divisors (6279208038).

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

3405671712 is a wasteful number, since it uses less digits than its factorization.

3405671712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825265 (or 11825254 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3405671712 is about 58358.1332120896. The cubic root of 3405671712 is about 1504.5302613804.

The spelling of 3405671712 in words is "three billion, four hundred five million, six hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11825249 23650498 35475747 47300996 70951494 94601992 106427241 141902988 189203984 212854482 283805976 378407968 425708964 567611952 851417928 1135223904 1702835856 3405671712