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3420375 = 35371303
BaseRepresentation
bin1101000011000011010111
320102202212120
431003003113
51333423000
6201151023
741033640
oct15030327
96382776
103420375
111a26862
12118b473
13929aba
146506c7
154786a0
hex3430d7

3420375 has 32 divisors (see below), whose sum is σ = 6509568. Its totient is φ = 1562400.

The previous prime is 3420371. The next prime is 3420401. The reversal of 3420375 is 5730243.

3420375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3420375 - 22 = 3420371 is a prime.

3420375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974 + ... + 3276.

It is an arithmetic number, because the mean of its divisors is an integer number (203424).

Almost surely, 23420375 is an apocalyptic number.

3420375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3420375 is a deficient number, since it is larger than the sum of its proper divisors (3089193).

3420375 is a wasteful number, since it uses less digits than its factorization.

3420375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 3420375 is about 1849.4255864998. The cubic root of 3420375 is about 150.6692319722.

The spelling of 3420375 in words is "three million, four hundred twenty thousand, three hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 1303 2625 3909 6515 9121 19545 27363 32575 45605 97725 136815 162875 228025 488625 684075 1140125 3420375