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3480477 = 3711131961
BaseRepresentation
bin1101010001101110011101
320112211022120
431101232131
51342333402
6202333153
741404110
oct15215635
96484276
103480477
111a67a30
1211ba1b9
1394b270
14668577
1548b3bc
hex351b9d

3480477 has 64 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 1555200.

The previous prime is 3480443. The next prime is 3480487. The reversal of 3480477 is 7740843.

It is a happy number.

It is not a de Polignac number, because 3480477 - 26 = 3480413 is a prime.

It is a super-2 number, since 2×34804772 = 24227440295058, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

3480477 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57027 + ... + 57087.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 23480477 is an apocalyptic number.

It is an amenable number.

3480477 is a deficient number, since it is larger than the sum of its proper divisors (3185763).

3480477 is a wasteful number, since it uses less digits than its factorization.

3480477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 3480477 is about 1865.6036556568. The cubic root of 3480477 is about 151.5466205137.

The spelling of 3480477 in words is "three million, four hundred eighty thousand, four hundred seventy-seven".

Divisors: 1 3 7 11 13 19 21 33 39 57 61 77 91 133 143 183 209 231 247 273 399 427 429 627 671 741 793 1001 1159 1281 1463 1729 2013 2379 2717 3003 3477 4389 4697 5187 5551 8113 8151 8723 12749 14091 15067 16653 19019 24339 26169 38247 45201 57057 61061 89243 105469 165737 183183 267729 316407 497211 1160159 3480477