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3419392 = 2819237
BaseRepresentation
bin1101000010110100000000
320102201112011
431002310000
51333410032
6201142304
741031034
oct15026400
96381464
103419392
111a26049
12118a994
13929512
146501c4
15478247
hex342d00

3419392 has 54 divisors (see below), whose sum is σ = 7398258. Its totient is φ = 1575936.

The previous prime is 3419333. The next prime is 3419407. The reversal of 3419392 is 2939143.

It can be written as a sum of positive squares in only one way, i.e., 3326976 + 92416 = 1824^2 + 304^2 .

It is a super-4 number, since 4×34193924 (a number of 27 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92398 + ... + 92434.

Almost surely, 23419392 is an apocalyptic number.

3419392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699129).

3419392 is an abundant number, since it is smaller than the sum of its proper divisors (3978866).

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

3419392 is an equidigital number, since it uses as much as digits as its factorization.

3419392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 3419392 is about 1849.1598092107. The cubic root of 3419392 is about 150.6547967085.

Subtracting from 3419392 its reverse (2939143), we obtain a square (480249 = 6932).

The spelling of 3419392 in words is "three million, four hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 256 296 304 361 592 608 703 722 1184 1216 1406 1444 2368 2432 2812 2888 4736 4864 5624 5776 9472 11248 11552 13357 22496 23104 26714 44992 46208 53428 89984 92416 106856 179968 213712 427424 854848 1709696 3419392