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3480435 = 335729127
BaseRepresentation
bin1101010001101101110011
320112211021000
431101231303
51342333220
6202333043
741404020
oct15215563
96484230
103480435
111a679a2
1211ba183
1394b23a
14668547
1548b390
hex351b73

3480435 has 64 divisors (see below), whose sum is σ = 7372800. Its totient is φ = 1524096.

The previous prime is 3480431. The next prime is 3480437. The reversal of 3480435 is 5340843.

It is a happy number.

It is not a de Polignac number, because 3480435 - 22 = 3480431 is a prime.

It is a super-2 number, since 2×34804352 = 24226855578450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3480399 and 3480408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480431) 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, 27342 + ... + 27468.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

Almost surely, 23480435 is an apocalyptic number.

3480435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3480435 is an abundant number, since it is smaller than the sum of its proper divisors (3892365).

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

3480435 is a wasteful number, since it uses less digits than its factorization.

3480435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3480435 is about 1865.5923992126. The cubic root of 3480435 is about 151.5460109245.

The spelling of 3480435 in words is "three million, four hundred eighty thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 87 105 127 135 145 189 203 261 315 381 435 609 635 783 889 945 1015 1143 1305 1827 1905 2667 3045 3429 3683 3915 4445 5481 5715 8001 9135 11049 13335 17145 18415 24003 25781 27405 33147 40005 55245 77343 99441 120015 128905 165735 232029 386715 497205 696087 1160145 3480435