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4190319 = 33722171
BaseRepresentation
bin1111111111000001101111
321212220001000
433333001233
52033042234
6225451343
750421450
oct17770157
97786030
104190319
112402281
1214a0b53
13b393a3
147b1127
1557b899
hex3ff06f

4190319 has 16 divisors (see below), whose sum is σ = 7095040. Its totient is φ = 2394360.

The previous prime is 4190309. The next prime is 4190321. The reversal of 4190319 is 9130914.

It is not a de Polignac number, because 4190319 - 28 = 4190063 is a prime.

It is a super-2 number, since 2×41903192 = 35117546643522, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4190292 and 4190301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4190309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10897 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (443440).

Almost surely, 24190319 is an apocalyptic number.

4190319 is a deficient number, since it is larger than the sum of its proper divisors (2904721).

4190319 is a wasteful number, since it uses less digits than its factorization.

4190319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22187 (or 22181 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 4190319 is about 2047.0268684118. The cubic root of 4190319 is about 161.2188041328.

The spelling of 4190319 in words is "four million, one hundred ninety thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 27 63 189 22171 66513 155197 199539 465591 598617 1396773 4190319