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3423392 = 257172931
BaseRepresentation
bin1101000011110010100000
320102221000022
431003302200
51334022032
6201213012
741045510
oct15036240
96387008
103423392
111a29055
121191168
1392b29b
14651840
15479512
hex343ca0

3423392 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1290240.

The previous prime is 3423383. The next prime is 3423403. The reversal of 3423392 is 2933243.

It is a super-2 number, since 2×34233922 = 23439225571328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110417 + ... + 110447.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 23423392 is an apocalyptic number.

3423392 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 3423392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3423392 is an abundant number, since it is smaller than the sum of its proper divisors (5285728).

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

3423392 is a wasteful number, since it uses less digits than its factorization.

3423392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

The square root of 3423392 is about 1850.2410653750. The cubic root of 3423392 is about 150.7135190738.

The spelling of 3423392 in words is "three million, four hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 29 31 32 34 56 58 62 68 112 116 119 124 136 203 217 224 232 238 248 272 406 434 464 476 493 496 527 544 812 868 899 928 952 986 992 1054 1624 1736 1798 1904 1972 2108 3248 3451 3472 3596 3689 3808 3944 4216 6293 6496 6902 6944 7192 7378 7888 8432 12586 13804 14384 14756 15283 15776 16864 25172 27608 28768 29512 30566 50344 55216 59024 61132 100688 106981 110432 118048 122264 201376 213962 244528 427924 489056 855848 1711696 3423392