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3402005481 = 33752134549
BaseRepresentation
bin1100101011000110…
…0111101111101001
322210002110210012000
43022301213233221
523431403133411
61321324441213
7150206366220
oct31261475751
98702423160
103402005481
111496386086
127ab3a9209
13422a788c4
14243b6dcb7
1514da01956
hexcac67be9

3402005481 has 32 divisors (see below), whose sum is σ = 5771232000. Its totient is φ = 1940215680.

The previous prime is 3402005479. The next prime is 3402005483. The reversal of 3402005481 is 1845002043.

It is an interprime number because it is at equal distance from previous prime (3402005479) and next prime (3402005483).

It is not a de Polignac number, because 3402005481 - 21 = 3402005479 is a prime.

It is a super-3 number, since 3×34020054813 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (3402005483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81195 + ... + 115743.

It is an arithmetic number, because the mean of its divisors is an integer number (180351000).

Almost surely, 23402005481 is an apocalyptic number.

It is an amenable number.

3402005481 is a deficient number, since it is larger than the sum of its proper divisors (2369226519).

3402005481 is a wasteful number, since it uses less digits than its factorization.

3402005481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35086 (or 35080 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3402005481 is about 58326.7132710219. The cubic root of 3402005481 is about 1503.9901881869.

The spelling of 3402005481 in words is "three billion, four hundred two million, five thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 189 521 1563 3647 4689 10941 14067 32823 34549 98469 103647 241843 310941 725529 932823 2176587 6529761 18000029 54000087 126000203 162000261 378000609 486000783 1134001827 3402005481