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3428425 = 5271113137
BaseRepresentation
bin1101000101000001001001
320110011220201
431011001021
51334202200
6201252201
741066260
oct15050111
96404821
103428425
111a31910
121194061
13930670
146535d7
1547ac6a
hex345049

3428425 has 48 divisors (see below), whose sum is σ = 5749632. Its totient is φ = 1958400.

The previous prime is 3428423. The next prime is 3428437. The reversal of 3428425 is 5248243.

3428425 = T1 + T2 + ... + T273.

3428425 is a nontrivial binomial coefficient, being equal to C(275, 3).

It is not a de Polignac number, because 3428425 - 21 = 3428423 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3428393 and 3428402.

It is not an unprimeable number, because it can be changed into a prime (3428423) by changing a digit.

It is the 273-rd tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24957 + ... + 25093.

It is an arithmetic number, because the mean of its divisors is an integer number (119784).

Almost surely, 23428425 is an apocalyptic number.

3428425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3428425 is a deficient number, since it is larger than the sum of its proper divisors (2321207).

3428425 is a wasteful number, since it uses less digits than its factorization.

3428425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 3428425 is about 1851.6006588895. The cubic root of 3428425 is about 150.7873415394.

The spelling of 3428425 in words is "three million, four hundred twenty-eight thousand, four hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 55 65 77 91 137 143 175 275 325 385 455 685 715 959 1001 1507 1781 1925 2275 3425 3575 4795 5005 7535 8905 10549 12467 19591 23975 25025 37675 44525 52745 62335 97955 137137 263725 311675 489775 685685 3428425