Search a number
-
+
3458112 = 26373183
BaseRepresentation
bin1101001100010001000000
320111200122020
431030101000
51341124422
6202041440
741251650
oct15142100
96450566
103458112
111a52149
1211a9280
13941028
14660360
1548495c
hex34c440

3458112 has 112 divisors (see below), whose sum is σ = 10924032. Its totient is φ = 944640.

The previous prime is 3458111. The next prime is 3458149. The reversal of 3458112 is 2118543.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41623 + ... + 41705.

It is an arithmetic number, because the mean of its divisors is an integer number (97536).

Almost surely, 23458112 is an apocalyptic number.

3458112 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 3458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462016).

3458112 is an abundant number, since it is smaller than the sum of its proper divisors (7465920).

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

3458112 is a wasteful number, since it uses less digits than its factorization.

3458112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 3458112 is about 1859.5999569800. The cubic root of 3458112 is about 151.2213177859.

It can be divided in two parts, 3458 and 112, that added together give a triangular number (3570 = T84).

The spelling of 3458112 in words is "three million, four hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 83 84 93 96 112 124 166 168 186 192 217 224 248 249 332 336 372 434 448 496 498 581 651 664 672 744 868 992 996 1162 1302 1328 1344 1488 1736 1743 1984 1992 2324 2573 2604 2656 2976 3472 3486 3984 4648 5146 5208 5312 5952 6944 6972 7719 7968 9296 10292 10416 13888 13944 15438 15936 18011 18592 20584 20832 27888 30876 36022 37184 41168 41664 54033 55776 61752 72044 82336 108066 111552 123504 144088 164672 216132 247008 288176 432264 494016 576352 864528 1152704 1729056 3458112