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3400425 = 3252717127
BaseRepresentation
bin1100111110001011101001
320101202111200
430332023221
51332303200
6200514413
740621530
oct14761351
96352450
103400425
111a12876
12117ba09
139209b2
14647317
15472800
hex33e2e9

3400425 has 72 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 1451520.

The previous prime is 3400409. The next prime is 3400457. The reversal of 3400425 is 5240043.

It is a happy number.

It is not a de Polignac number, because 3400425 - 24 = 3400409 is a prime.

3400425 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3400398 and 3400407.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 26712 + ... + 26838.

It is an arithmetic number, because the mean of its divisors is an integer number (103168).

Almost surely, 23400425 is an apocalyptic number.

3400425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3400425 is an abundant number, since it is smaller than the sum of its proper divisors (4027671).

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

3400425 is a wasteful number, since it uses less digits than its factorization.

3400425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3400425 is about 1844.0241321631. The cubic root of 3400425 is about 150.3757247536.

Adding to 3400425 its reverse (5240043), we get a palindrome (8640468).

The spelling of 3400425 in words is "three million, four hundred thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 127 153 175 225 255 315 357 381 425 525 595 635 765 889 1071 1143 1275 1575 1785 1905 2159 2667 2975 3175 3825 4445 5355 5715 6477 8001 8925 9525 10795 13335 15113 19431 22225 26775 28575 32385 40005 45339 53975 66675 75565 97155 136017 161925 200025 226695 377825 485775 680085 1133475 3400425