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3414112 = 251329283
BaseRepresentation
bin1101000001100001100000
320102110021121
431001201200
51333222422
6201102024
741006452
oct15014140
96373247
103414112
111a22089
121187914
13926cb0
1464c2d2
154768c7
hex341860

3414112 has 48 divisors (see below), whose sum is σ = 7514640. Its totient is φ = 1516032.

The previous prime is 3414107. The next prime is 3414121. The reversal of 3414112 is 2114143.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 11923 + ... + 12205.

It is an arithmetic number, because the mean of its divisors is an integer number (156555).

Almost surely, 23414112 is an apocalyptic number.

3414112 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 3414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757320).

3414112 is an abundant number, since it is smaller than the sum of its proper divisors (4100528).

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

3414112 is a wasteful number, since it uses less digits than its factorization.

3414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 3414112 is about 1847.7315822381. The cubic root of 3414112 is about 150.5772130221.

Adding to 3414112 its reverse (2114143), we get a palindrome (5528255).

The spelling of 3414112 in words is "three million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 283 377 416 464 566 754 928 1132 1508 2264 3016 3679 4528 6032 7358 8207 9056 12064 14716 16414 29432 32828 58864 65656 106691 117728 131312 213382 262624 426764 853528 1707056 3414112