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3480225 = 35272947
BaseRepresentation
bin1101010001101010100001
320112210222020
431101222201
51342331400
6202332053
741403300
oct15215241
96483866
103480225
111a67821
1211ba029
1394b108
14668437
1548b2a0
hex351aa1

3480225 has 36 divisors (see below), whose sum is σ = 6700464. Its totient is φ = 1589280.

The previous prime is 3480221. The next prime is 3480229. The reversal of 3480225 is 5220843.

3480225 = T216 + T217 + ... + T313.

It is an interprime number because it is at equal distance from previous prime (3480221) and next prime (3480229).

It is not a de Polignac number, because 3480225 - 22 = 3480221 is a prime.

It is a super-2 number, since 2×34802252 = 24223932101250, which contains 22 as substring.

3480225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3480195 and 3480204.

It is not an unprimeable number, because it can be changed into a prime (3480221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3202 + ... + 4148.

It is an arithmetic number, because the mean of its divisors is an integer number (186124).

Almost surely, 23480225 is an apocalyptic number.

3480225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3480225 is a deficient number, since it is larger than the sum of its proper divisors (3220239).

3480225 is a wasteful number, since it uses less digits than its factorization.

3480225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3480225 is about 1865.5361159731. The cubic root of 3480225 is about 151.5429629049.

The spelling of 3480225 in words is "three million, four hundred eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 947 1225 2841 3675 4735 6629 14205 19887 23675 33145 46403 71025 99435 139209 165725 232015 497175 696045 1160075 3480225